56786192100 has 360 divisors, whose sum is σ = 201323551968. Its totient is φ = 13731379200.

The previous prime is 56786192083. The next prime is 56786192137. The reversal of 56786192100 is 129168765.

56786192100 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 619 + 21 + 0 + 0 = 666.

It is a super-2 number, since 2×56786192100² (a number of 22 digits) contains 22 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 59963827 + ... + 59964773.

Almost surely, 2^56786192100 is an apocalyptic number.

56786192100 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 56786192100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100661775984).

56786192100 is an abundant number, since it is smaller than the sum of its proper divisors (144537359868).

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

56786192100 is a wasteful number, since it uses less digits than its factorization.

56786192100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 56786192100 in words is "fifty-six billion, seven hundred eighty-six million, one hundred ninety-two thousand, one hundred".