56630100120 has 256 divisors, whose sum is σ = 197097338880. Its totient is φ = 12864307200.

The previous prime is 56630100119. The next prime is 56630100143. The reversal of 56630100120 is 2100103665.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5223105 + ... + 5233935.

It is an arithmetic number, because the mean of its divisors is an integer number (769911480).

Almost surely, 2^56630100120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56630100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98548669440).

56630100120 is an abundant number, since it is smaller than the sum of its proper divisors (140467238760).

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

56630100120 is a wasteful number, since it uses less digits than its factorization.

56630100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11106 (or 11102 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 56630100120 its reverse (2100103665), we get a palindrome (58730203785).

The spelling of 56630100120 in words is "fifty-six billion, six hundred thirty million, one hundred thousand, one hundred twenty".