57562609104 has 960 divisors, whose sum is σ = 228213393408. Its totient is φ = 13063680000.

The previous prime is 57562609051. The next prime is 57562609163. The reversal of 57562609104 is 40190626575.

57562609104 is a `hidden beast` number, since 5 + 7 + 5 + 626 + 0 + 9 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57562609104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 229332979 + ... + 229333229.

Almost surely, 2^57562609104 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 57562609104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114106696704).

57562609104 is an abundant number, since it is smaller than the sum of its proper divisors (170650784304).

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

57562609104 is a wasteful number, since it uses less digits than its factorization.

57562609104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 57562 and 609104, that added together give a palindrome (666666).

The spelling of 57562609104 in words is "fifty-seven billion, five hundred sixty-two million, six hundred nine thousand, one hundred four".