57506707876800 has 2016 divisors, whose sum is σ = 247352059121664. Its totient is φ = 11579645952000.

The previous prime is 57506707876789. The next prime is 57506707876811. The reversal of 57506707876800 is 867870760575.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57506707876789) and next prime (57506707876811).

It is a super-2 number, since 2×57506707876800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6919344645 + ... + 6919352955.

Almost surely, 2^{57506707876800} is an apocalyptic number.

57506707876800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57506707876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123676029560832).

57506707876800 is an abundant number, since it is smaller than the sum of its proper divisors (189845351244864).

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

57506707876800 is a wasteful number, since it uses less digits than its factorization.

57506707876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 66.

The spelling of 57506707876800 in words is "fifty-seven trillion, five hundred six billion, seven hundred seven million, eight hundred seventy-six thousand, eight hundred".