57953229295104 has 720 divisors, whose sum is σ = 201233498898432. Its totient is φ = 15944822784000.

The previous prime is 57953229295103. The next prime is 57953229295127. The reversal of 57953229295104 is 40159292235975.

57953229295104 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 3 + 22 + 92 + 9 + 510 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57953229295103) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 442085889 + ... + 442216959.

Almost surely, 2^{57953229295104} 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 57953229295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100616749449216).

57953229295104 is an abundant number, since it is smaller than the sum of its proper divisors (143280269603328).

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

57953229295104 is a wasteful number, since it uses less digits than its factorization.

57953229295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131191 (or 131161 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 57953229295104 in words is "fifty-seven trillion, nine hundred fifty-three billion, two hundred twenty-nine million, two hundred ninety-five thousand, one hundred four".