29975990760864 has 96 divisors (see below), whose sum is σ = 92031550632000. Its totient is φ = 9466102340352.

The previous prime is 29975990760851. The next prime is 29975990760893. The reversal of 29975990760864 is 46806709957992.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912994999 + ... + 913027830.

It is an arithmetic number, because the mean of its divisors is an integer number (958661985750).

Almost surely, 2^{29975990760864} is an apocalyptic number.

29975990760864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29975990760864 is an abundant number, since it is smaller than the sum of its proper divisors (62055559871136).

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

29975990760864 is a wasteful number, since it uses less digits than its factorization.

29975990760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826022867 (or 1826022853 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 29975990760864 in words is "twenty-nine trillion, nine hundred seventy-five billion, nine hundred ninety million, seven hundred sixty thousand, eight hundred sixty-four".