56622448800 has 432 divisors, whose sum is σ = 209177736768. Its totient is φ = 14385254400.

The previous prime is 56622448789. The next prime is 56622448807. The reversal of 56622448800 is 884422665.

56622448800 is a `hidden beast` number, since 566 + 2 + 2 + 4 + 4 + 8 + 80 + 0 = 666.

It is a super-2 number, since 2×56622448800² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (56622448807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54813084 + ... + 54814116.

It is an arithmetic number, because the mean of its divisors is an integer number (484207724).

Almost surely, 2^56622448800 is an apocalyptic number.

56622448800 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 56622448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104588868384).

56622448800 is an abundant number, since it is smaller than the sum of its proper divisors (152555287968).

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

56622448800 is a wasteful number, since it uses less digits than its factorization.

56622448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 56622448800 in words is "fifty-six billion, six hundred twenty-two million, four hundred forty-eight thousand, eight hundred".