56301812100 has 432 divisors, whose sum is σ = 196536045888. Its totient is φ = 13929615360.

The previous prime is 56301812093. The next prime is 56301812101. The reversal of 56301812100 is 121810365.

56301812100 is a `hidden beast` number, since 5 + 630 + 1 + 8 + 1 + 21 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56301812101) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 30155367 + ... + 30157233.

Almost surely, 2^56301812100 is an apocalyptic number.

56301812100 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 56301812100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98268022944).

56301812100 is an abundant number, since it is smaller than the sum of its proper divisors (140234233788).

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

56301812100 is a wasteful number, since it uses less digits than its factorization.

56301812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 56301812100 in words is "fifty-six billion, three hundred one million, eight hundred twelve thousand, one hundred".