56276866800 has 1920 divisors, whose sum is σ = 269239910400. Its totient is φ = 10824192000.

The previous prime is 56276866757. The next prime is 56276866819. The reversal of 56276866800 is 866867265.

56276866800 is a `hidden beast` number, since 5 + 627 + 6 + 8 + 6 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 953845171 + ... + 953845229.

It is an arithmetic number, because the mean of its divisors is an integer number (140229120).

Almost surely, 2^56276866800 is an apocalyptic number.

56276866800 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 56276866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134619955200).

56276866800 is an abundant number, since it is smaller than the sum of its proper divisors (212963043600).

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

56276866800 is a wasteful number, since it uses less digits than its factorization.

56276866800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 56276866800 in words is "fifty-six billion, two hundred seventy-six million, eight hundred sixty-six thousand, eight hundred".