56407104000 has 1280 divisors, whose sum is σ = 234504990720. Its totient is φ = 13436928000.

The previous prime is 56407103999. The next prime is 56407104041. The reversal of 56407104000 is 40170465.

56407104000 is a `hidden beast` number, since 5 + 640 + 7 + 10 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×56407104000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1819583985 + ... + 1819584015.

It is an arithmetic number, because the mean of its divisors is an integer number (183207024).

Almost surely, 2^56407104000 is an apocalyptic number.

56407104000 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 56407104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117252495360).

56407104000 is an abundant number, since it is smaller than the sum of its proper divisors (178097886720).

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

56407104000 is an frugal number, since it uses more digits than its factorization.

56407104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 56407104000 its reverse (40170465), we get a palindrome (56447274465).

The spelling of 56407104000 in words is "fifty-six billion, four hundred seven million, one hundred four thousand".