56172268800 has 648 divisors, whose sum is σ = 219343356960. Its totient is φ = 14183424000.

The previous prime is 56172268769. The next prime is 56172268807. The reversal of 56172268800 is 886227165.

56172268800 is a `hidden beast` number, since 5 + 617 + 2 + 26 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56172268807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29547850 + ... + 29549750.

Almost surely, 2^56172268800 is an apocalyptic number.

56172268800 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 56172268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109671678480).

56172268800 is an abundant number, since it is smaller than the sum of its proper divisors (163171088160).

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

56172268800 is a wasteful number, since it uses less digits than its factorization.

56172268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 56172268800 in words is "fifty-six billion, one hundred seventy-two million, two hundred sixty-eight thousand, eight hundred".