656157881880 has 192 divisors, whose sum is σ = 2228657146560. Its totient is φ = 167110124544.

The previous prime is 656157881849. The next prime is 656157881887. The reversal of 656157881880 is 88188751656.

656157881880 is a `hidden beast` number, since 6 + 5 + 615 + 7 + 8 + 8 + 1 + 8 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656157881887) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5346162 + ... + 5467518.

It is an arithmetic number, because the mean of its divisors is an integer number (11607589305).

Almost surely, 2^656157881880 is an apocalyptic number.

656157881880 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 656157881880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114328573280).

656157881880 is an abundant number, since it is smaller than the sum of its proper divisors (1572499264680).

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

656157881880 is a wasteful number, since it uses less digits than its factorization.

656157881880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122050 (or 122043 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 656157881880 in words is "six hundred fifty-six billion, one hundred fifty-seven million, eight hundred eighty-one thousand, eight hundred eighty".