107555652864 has 432 divisors, whose sum is σ = 355852224000. Its totient is φ = 30939955200.

The previous prime is 107555652863. The next prime is 107555652871. The reversal of 107555652864 is 468256555701.

107555652864 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 5 + 56 + 528 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107555652864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107555652863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44832337 + ... + 44834735.

It is an arithmetic number, because the mean of its divisors is an integer number (823732000).

Almost surely, 2^107555652864 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 107555652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177926112000).

107555652864 is an abundant number, since it is smaller than the sum of its proper divisors (248296571136).

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

107555652864 is a wasteful number, since it uses less digits than its factorization.

107555652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 107555652864 in words is "one hundred seven billion, five hundred fifty-five million, six hundred fifty-two thousand, eight hundred sixty-four".