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53465325338880 = 283257131923116707
BaseRepresentation
bin11000010100000010111011…
…01110011000000100000000
321000022020100110010221221100
430022001131232120010000
524001433441241321010
6305413344213454400
714155512413664240
oct1412013556300400
9230266313127840
1053465325338880
1116043576352134
125bb5b31341400
1323aa9b26aa290
14d2ba42505b20
1562ab50cbd2c0
hex30a05db98100

53465325338880 has 1728 divisors, whose sum is σ = 250077943664640. Its totient is φ = 10222145961984.

The previous prime is 53465325338879. The next prime is 53465325338881. The reversal of 53465325338880 is 8883352356435.

53465325338880 is a `hidden beast` number, since 5 + 3 + 4 + 65 + 32 + 533 + 8 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53465325338879) and next prime (53465325338881).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (53465325338881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 458057487 + ... + 458174193.

Almost surely, 253465325338880 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 53465325338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125038971832320).

53465325338880 is an abundant number, since it is smaller than the sum of its proper divisors (196612618325760).

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

53465325338880 is a wasteful number, since it uses less digits than its factorization.

53465325338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116796 (or 116779 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 53465325338880 in words is "fifty-three trillion, four hundred sixty-five billion, three hundred twenty-five million, three hundred thirty-eight thousand, eight hundred eighty".