109056564864 has 384 divisors, whose sum is σ = 352730851200. Its totient is φ = 33340502016.

The previous prime is 109056564853. The next prime is 109056564949. The reversal of 109056564864 is 468465650901.

109056564864 is a `hidden beast` number, since 10 + 9 + 0 + 5 + 6 + 564 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 109056564864.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69952117 + ... + 69953675.

It is an arithmetic number, because the mean of its divisors is an integer number (918569925).

Almost surely, 2^109056564864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109056564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176365425600).

109056564864 is an abundant number, since it is smaller than the sum of its proper divisors (243674286336).

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

109056564864 is a wasteful number, since it uses less digits than its factorization.

109056564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 109056564864 in words is "one hundred nine billion, fifty-six million, five hundred sixty-four thousand, eight hundred sixty-four".