656160609060 has 672 divisors, whose sum is σ = 2339857465344. Its totient is φ = 153055008000.

The previous prime is 656160609031. The next prime is 656160609101. The reversal of 656160609060 is 60906061656.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 656160608997 and 656160609015.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1347352137 + ... + 1347352623.

It is an arithmetic number, because the mean of its divisors is an integer number (3481930752).

Almost surely, 2^656160609060 is an apocalyptic number.

656160609060 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 656160609060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169928732672).

656160609060 is an abundant number, since it is smaller than the sum of its proper divisors (1683696856284).

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

656160609060 is a wasteful number, since it uses less digits than its factorization.

656160609060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 656160609060 in words is "six hundred fifty-six billion, one hundred sixty million, six hundred nine thousand, sixty".