57008402516880 has 400 divisors, whose sum is σ = 200504702306304. Its totient is φ = 15010647321600.

The previous prime is 57008402516861. The next prime is 57008402516903. The reversal of 57008402516880 is 8861520480075.

57008402516880 is a `hidden beast` number, since 5 + 7 + 0 + 0 + 8 + 40 + 2 + 516 + 8 + 80 = 666.

57008402516880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 240075489 + ... + 240312831.

Almost surely, 2^{57008402516880} 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 57008402516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100252351153152).

57008402516880 is an abundant number, since it is smaller than the sum of its proper divisors (143496299789424).

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

57008402516880 is a wasteful number, since it uses less digits than its factorization.

57008402516880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237836 (or 237821 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 57008402516880 in words is "fifty-seven trillion, eight billion, four hundred two million, five hundred sixteen thousand, eight hundred eighty".