56671589452800 has 1056 divisors, whose sum is σ = 221224301056000. Its totient is φ = 12520960819200.

The previous prime is 56671589452787. The next prime is 56671589452811. The reversal of 56671589452800 is 825498517665.

It is a super-2 number, since 2×56671589452800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20615345826 + ... + 20615348574.

Almost surely, 2^{56671589452800} is an apocalyptic number.

56671589452800 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 56671589452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110612150528000).

56671589452800 is an abundant number, since it is smaller than the sum of its proper divisors (164552711603200).

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

56671589452800 is a wasteful number, since it uses less digits than its factorization.

56671589452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 66.

The spelling of 56671589452800 in words is "fifty-six trillion, six hundred seventy-one billion, five hundred eighty-nine million, four hundred fifty-two thousand, eight hundred".