107429399765520 has 320 divisors, whose sum is σ = 404372792056320. Its totient is φ = 23067784986624.

The previous prime is 107429399765473. The next prime is 107429399765573. The reversal of 107429399765520 is 25567993924701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27995157 + ... + 31600436.

It is an arithmetic number, because the mean of its divisors is an integer number (1263664975176).

Almost surely, 2^{107429399765520} is an apocalyptic number.

107429399765520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107429399765520 is an abundant number, since it is smaller than the sum of its proper divisors (296943392290800).

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

107429399765520 is a wasteful number, since it uses less digits than its factorization.

107429399765520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59595682 (or 59595676 counting only the distinct ones).

The product of its (nonzero) digits is 257191200, while the sum is 69.

The spelling of 107429399765520 in words is "one hundred seven trillion, four hundred twenty-nine billion, three hundred ninety-nine million, seven hundred sixty-five thousand, five hundred twenty".