56660000100 has 288 divisors, whose sum is σ = 182058347520. Its totient is φ = 13490880000.

The previous prime is 56660000087. The next prime is 56660000101. The reversal of 56660000100 is 100006665.

It is a super-2 number, since 2×56660000100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56660000101) 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 95 ways as a sum of consecutive naturals, for example, 46328089 + ... + 46329311.

It is an arithmetic number, because the mean of its divisors is an integer number (632147040).

Almost surely, 2^56660000100 is an apocalyptic number.

56660000100 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 56660000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91029173760).

56660000100 is an abundant number, since it is smaller than the sum of its proper divisors (125398347420).

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

56660000100 is a wasteful number, since it uses less digits than its factorization.

56660000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1484 counting only the distinct ones).

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

Adding to 56660000100 its reverse (100006665), we get a palindrome (56760006765).

The spelling of 56660000100 in words is "fifty-six billion, six hundred sixty million, one hundred", and thus it is an aban number.