29972866400 has 36 divisors (see below), whose sum is σ = 73171262052. Its totient is φ = 11989146240.

The previous prime is 29972866387. The next prime is 29972866411. The reversal of 29972866400 is 466827992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18732242 + ... + 18733841.

It is an arithmetic number, because the mean of its divisors is an integer number (2032535057).

Almost surely, 2^29972866400 is an apocalyptic number.

29972866400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29972866400 is an abundant number, since it is smaller than the sum of its proper divisors (43198395652).

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

29972866400 is a wasteful number, since it uses less digits than its factorization.

29972866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37466103 (or 37466090 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 29972866400 in words is "twenty-nine billion, nine hundred seventy-two million, eight hundred sixty-six thousand, four hundred".