109640560656 has 320 divisors, whose sum is σ = 336088488960. Its totient is φ = 30694118400.

The previous prime is 109640560583. The next prime is 109640560669. The reversal of 109640560656 is 656065046901.

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

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 63 ways as a sum of consecutive naturals, for example, 49767651 + ... + 49769853.

It is an arithmetic number, because the mean of its divisors is an integer number (1050276528).

Almost surely, 2^109640560656 is an apocalyptic number.

109640560656 is a gapful number since it is divisible by the number (16) 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 109640560656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168044244480).

109640560656 is an abundant number, since it is smaller than the sum of its proper divisors (226447928304).

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

109640560656 is a wasteful number, since it uses less digits than its factorization.

109640560656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 109640560656 in words is "one hundred nine billion, six hundred forty million, five hundred sixty thousand, six hundred fifty-six".