29990956800 has 648 divisors, whose sum is σ = 116968930176. Its totient is φ = 6628884480.

The previous prime is 29990956753. The next prime is 29990956811. The reversal of 29990956800 is 865909992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183993519 + ... + 183993681.

Almost surely, 2^29990956800 is an apocalyptic number.

29990956800 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 29990956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58484465088).

29990956800 is an abundant number, since it is smaller than the sum of its proper divisors (86977973376).

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

29990956800 is a wasteful number, since it uses less digits than its factorization.

29990956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 57.

The spelling of 29990956800 in words is "twenty-nine billion, nine hundred ninety million, nine hundred fifty-six thousand, eight hundred".