57902657198112 has 288 divisors, whose sum is σ = 172538360257536. Its totient is φ = 18396819302400.

The previous prime is 57902657198093. The next prime is 57902657198119. The reversal of 57902657198112 is 21189175620975.

57902657198112 is a `hidden beast` number, since 5 + 79 + 0 + 265 + 7 + 198 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 57902657198112.

It is not an unprimeable number, because it can be changed into a prime (57902657198119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642083458 + ... + 642173630.

It is an arithmetic number, because the mean of its divisors is an integer number (599091528672).

Almost surely, 2^{57902657198112} 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 57902657198112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86269180128768).

57902657198112 is an abundant number, since it is smaller than the sum of its proper divisors (114635703059424).

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

57902657198112 is a wasteful number, since it uses less digits than its factorization.

57902657198112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91304 (or 91293 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 63.

The spelling of 57902657198112 in words is "fifty-seven trillion, nine hundred two billion, six hundred fifty-seven million, one hundred ninety-eight thousand, one hundred twelve".