107993556720 has 640 divisors, whose sum is σ = 464678830080. Its totient is φ = 22481141760.

The previous prime is 107993556719. The next prime is 107993556731. The reversal of 107993556720 is 27655399701.

107993556720 is a `hidden beast` number, since 1 + 0 + 79 + 9 + 3 + 5 + 567 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7961464 + ... + 7975016.

It is an arithmetic number, because the mean of its divisors is an integer number (726060672).

Almost surely, 2^107993556720 is an apocalyptic number.

107993556720 is a gapful number since it is divisible by the number (10) 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 107993556720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232339415040).

107993556720 is an abundant number, since it is smaller than the sum of its proper divisors (356685273360).

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

107993556720 is a wasteful number, since it uses less digits than its factorization.

107993556720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13630 (or 13618 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 107993556720 in words is "one hundred seven billion, nine hundred ninety-three million, five hundred fifty-six thousand, seven hundred twenty".