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53995551160320 = 2113557211127317
BaseRepresentation
bin11000100011011110100011…
…01001010111100000000000
321002011220221210120111100000
430101233101221113200000
524034130342044112240
6310501114101200000
714242023044053200
oct1421572151274000
9232156853514300
1053995551160320
1116228425a72650
126080848a00000
1324189b29184a3
14d49581b58400
15639835285430
hex311bd1a57800

53995551160320 has 3456 divisors, whose sum is σ = 249000220385280. Its totient is φ = 11096394301440.

The previous prime is 53995551160267. The next prime is 53995551160487. The reversal of 53995551160320 is 2306115559935.

53995551160320 is a `hidden beast` number, since 5 + 3 + 9 + 9 + 5 + 5 + 5 + 1 + 1 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170332968802 + ... + 170332969118.

It is an arithmetic number, because the mean of its divisors is an integer number (72048674880).

Almost surely, 253995551160320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53995551160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124500110192640).

53995551160320 is an abundant number, since it is smaller than the sum of its proper divisors (195004669224960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53995551160320 is a wasteful number, since it uses less digits than its factorization.

53995551160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 5467500, while the sum is 54.

The spelling of 53995551160320 in words is "fifty-three trillion, nine hundred ninety-five billion, five hundred fifty-one million, one hundred sixty thousand, three hundred twenty".