29979957504 has 144 divisors (see below), whose sum is σ = 96553392768. Its totient is φ = 8061812736.

The previous prime is 29979957503. The next prime is 29979957509. The reversal of 29979957504 is 40575997992.

It is not an unprimeable number, because it can be changed into a prime (29979957503) 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, 72627 + ... + 255410.

It is an arithmetic number, because the mean of its divisors is an integer number (670509672).

Almost surely, 2^29979957504 is an apocalyptic number.

29979957504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29979957504 is an abundant number, since it is smaller than the sum of its proper divisors (66573435264).

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

29979957504 is a wasteful number, since it uses less digits than its factorization.

29979957504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328080 (or 328066 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 66.

The spelling of 29979957504 in words is "twenty-nine billion, nine hundred seventy-nine million, nine hundred fifty-seven thousand, five hundred four".