107666631872592 has 480 divisors, whose sum is σ = 317205073575936. Its totient is φ = 31393739520000.

The previous prime is 107666631872567. The next prime is 107666631872621. The reversal of 107666631872592 is 295278136666701.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 8944633998 + ... + 8944646034.

Almost surely, 2^{107666631872592} is an apocalyptic number.

107666631872592 is a gapful number since it is divisible by the number (12) 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 107666631872592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158602536787968).

107666631872592 is an abundant number, since it is smaller than the sum of its proper divisors (209538441703344).

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

107666631872592 is a wasteful number, since it uses less digits than its factorization.

107666631872592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 107666631872592 in words is "one hundred seven trillion, six hundred sixty-six billion, six hundred thirty-one million, eight hundred seventy-two thousand, five hundred ninety-two".