56867928800 has 288 divisors, whose sum is σ = 145340697600. Its totient is φ = 21715200000.

The previous prime is 56867928737. The next prime is 56867928883. The reversal of 56867928800 is 882976865.

It is a super-2 number, since 2×56867928800² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a self number, because there is not a number n which added to its sum of digits gives 56867928800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376608725 + ... + 376608875.

It is an arithmetic number, because the mean of its divisors is an integer number (504655200).

Almost surely, 2^56867928800 is an apocalyptic number.

56867928800 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 56867928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72670348800).

56867928800 is an abundant number, since it is smaller than the sum of its proper divisors (88472768800).

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

56867928800 is a wasteful number, since it uses less digits than its factorization.

56867928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 59.

The spelling of 56867928800 in words is "fifty-six billion, eight hundred sixty-seven million, nine hundred twenty-eight thousand, eight hundred".