107957831668512 has 192 divisors, whose sum is σ = 342029967713280. Its totient is φ = 29126483076096.

The previous prime is 107957831668499. The next prime is 107957831668537. The reversal of 107957831668512 is 215866138759701.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9851143 + ... + 17690694.

It is an arithmetic number, because the mean of its divisors is an integer number (1781406081840).

Almost surely, 2^{107957831668512} is an apocalyptic number.

107957831668512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107957831668512 is an abundant number, since it is smaller than the sum of its proper divisors (234072136044768).

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

107957831668512 is a wasteful number, since it uses less digits than its factorization.

107957831668512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27542183 (or 27542175 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 69.

The spelling of 107957831668512 in words is "one hundred seven trillion, nine hundred fifty-seven billion, eight hundred thirty-one million, six hundred sixty-eight thousand, five hundred twelve".