29996772900 has 72 divisors (see below), whose sum is σ = 86951559744. Its totient is φ = 7984310400.

The previous prime is 29996772877. The next prime is 29996772931. The reversal of 29996772900 is 927769992.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 69889 + ... + 254711.

It is an arithmetic number, because the mean of its divisors is an integer number (1207660552).

Almost surely, 2^29996772900 is an apocalyptic number.

29996772900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29996772900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43475779872).

29996772900 is an abundant number, since it is smaller than the sum of its proper divisors (56954786844).

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

29996772900 is a wasteful number, since it uses less digits than its factorization.

29996772900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185381 (or 185374 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 60.

The spelling of 29996772900 in words is "twenty-nine billion, nine hundred ninety-six million, seven hundred seventy-two thousand, nine hundred".