107980560864 has 576 divisors, whose sum is σ = 363771233280. Its totient is φ = 31207680000.

The previous prime is 107980560859. The next prime is 107980560887. The reversal of 107980560864 is 468065089701.

107980560864 is a `hidden beast` number, since 1 + 0 + 79 + 8 + 0 + 560 + 8 + 6 + 4 = 666.

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 107980560864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250534729 + ... + 250535159.

It is an arithmetic number, because the mean of its divisors is an integer number (631547280).

Almost surely, 2^107980560864 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 107980560864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181885616640).

107980560864 is an abundant number, since it is smaller than the sum of its proper divisors (255790672416).

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

107980560864 is a wasteful number, since it uses less digits than its factorization.

107980560864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 107980560864 in words is "one hundred seven billion, nine hundred eighty million, five hundred sixty thousand, eight hundred sixty-four".