656000106600 has 384 divisors, whose sum is σ = 2201359104000. Its totient is φ = 161056512000.

The previous prime is 656000106577. The next prime is 656000106613. The reversal of 656000106600 is 6601000656.

It is a super-2 number, since 2×656000106600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 126662811 + ... + 126667989.

It is an arithmetic number, because the mean of its divisors is an integer number (5732706000).

Almost surely, 2^656000106600 is an apocalyptic number.

656000106600 is a gapful number since it is divisible by the number (60) 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 656000106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100679552000).

656000106600 is an abundant number, since it is smaller than the sum of its proper divisors (1545358997400).

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

656000106600 is a wasteful number, since it uses less digits than its factorization.

656000106600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 656000106600 in words is "six hundred fifty-six billion, one hundred six thousand, six hundred".