53117551196640 has 1728 divisors, whose sum is σ = 224289930009600. Its totient is φ = 11192129372160.

The previous prime is 53117551196639. The next prime is 53117551196659. The reversal of 53117551196640 is 4669115571135.

53117551196640 is a `hidden beast` number, since 5 + 3 + 1 + 17 + 551 + 19 + 6 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93352462276 + ... + 93352462844.

It is an arithmetic number, because the mean of its divisors is an integer number (129797413200).

Almost surely, 2^{53117551196640} 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 53117551196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112144965004800).

53117551196640 is an abundant number, since it is smaller than the sum of its proper divisors (171172378812960).

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

53117551196640 is a wasteful number, since it uses less digits than its factorization.

53117551196640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 53117551196640 in words is "fifty-three trillion, one hundred seventeen billion, five hundred fifty-one million, one hundred ninety-six thousand, six hundred forty".