656066791200 has 216 divisors, whose sum is σ = 2211681287088. Its totient is φ = 168917826560.

The previous prime is 656066791181. The next prime is 656066791217. The reversal of 656066791200 is 2197660656.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 656066791200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1855879 + ... + 2180921.

It is an arithmetic number, because the mean of its divisors is an integer number (10239265218).

Almost surely, 2^656066791200 is an apocalyptic number.

656066791200 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 656066791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105840643544).

656066791200 is an abundant number, since it is smaller than the sum of its proper divisors (1555614495888).

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

656066791200 is a wasteful number, since it uses less digits than its factorization.

656066791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325124 (or 325082 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 656066791200 in words is "six hundred fifty-six billion, sixty-six million, seven hundred ninety-one thousand, two hundred".