57108694874880 has 576 divisors, whose sum is σ = 210750055358976. Its totient is φ = 13025574912000.

The previous prime is 57108694874879. The next prime is 57108694874969. The reversal of 57108694874880 is 8847849680175.

57108694874880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57108694874880² (a number of 28 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2312923335 + ... + 2312948025.

It is an arithmetic number, because the mean of its divisors is an integer number (365885512776).

Almost surely, 2^{57108694874880} 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 57108694874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105375027679488).

57108694874880 is an abundant number, since it is smaller than the sum of its proper divisors (153641360484096).

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

57108694874880 is a wasteful number, since it uses less digits than its factorization.

57108694874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27964 (or 27950 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 75.

The spelling of 57108694874880 in words is "fifty-seven trillion, one hundred eight billion, six hundred ninety-four million, eight hundred seventy-four thousand, eight hundred eighty".