126057619073664 has 192 divisors, whose sum is σ = 389150578908000. Its totient is φ = 40570267917312.

The previous prime is 126057619073641. The next prime is 126057619073707. The reversal of 126057619073664 is 466370916750621.

It is a happy number.

126057619073664 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 5 + 7 + 619 + 0 + 7 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68973474 + ... + 70777505.

Almost surely, 2^{126057619073664} is an apocalyptic number.

It is an amenable number.

126057619073664 is an abundant number, since it is smaller than the sum of its proper divisors (263092959834336).

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

126057619073664 is an equidigital number, since it uses as much as digits as its factorization.

126057619073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139751037 (or 139751013 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 126057619073664 in words is "one hundred twenty-six trillion, fifty-seven billion, six hundred nineteen million, seventy-three thousand, six hundred sixty-four".