29875025664 has 144 divisors (see below), whose sum is σ = 96377379840. Its totient is φ = 9053015040.

The previous prime is 29875025651. The next prime is 29875025669. The reversal of 29875025664 is 46652057892.

29875025664 is a `hidden beast` number, since 2 + 9 + 8 + 75 + 0 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29875025664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29875025669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120432 + ... + 272495.

It is an arithmetic number, because the mean of its divisors is an integer number (669287360).

Almost surely, 2^29875025664 is an apocalyptic number.

29875025664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29875025664 is an abundant number, since it is smaller than the sum of its proper divisors (66502354176).

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

29875025664 is a wasteful number, since it uses less digits than its factorization.

29875025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392963 (or 392943 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 29875025664 in words is "twenty-nine billion, eight hundred seventy-five million, twenty-five thousand, six hundred sixty-four".