56211829800 has 576 divisors, whose sum is σ = 213950056320. Its totient is φ = 12148899840.

The previous prime is 56211829789. The next prime is 56211829829. The reversal of 56211829800 is 892811265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65590972 + ... + 65591828.

It is an arithmetic number, because the mean of its divisors is an integer number (371441070).

Almost surely, 2^56211829800 is an apocalyptic number.

56211829800 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 56211829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106975028160).

56211829800 is an abundant number, since it is smaller than the sum of its proper divisors (157738226520).

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

56211829800 is a wasteful number, since it uses less digits than its factorization.

56211829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 56211829800 in words is "fifty-six billion, two hundred eleven million, eight hundred twenty-nine thousand, eight hundred".