29965807872 has 1152 divisors, whose sum is σ = 122632151040. Its totient is φ = 6967296000.

The previous prime is 29965807847. The next prime is 29965807889. The reversal of 29965807872 is 27870856992.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422053597 + ... + 422053667.

It is an arithmetic number, because the mean of its divisors is an integer number (106451520).

Almost surely, 2^29965807872 is an apocalyptic number.

29965807872 is a gapful number since it is divisible by the number (22) 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 29965807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61316075520).

29965807872 is an abundant number, since it is smaller than the sum of its proper divisors (92666343168).

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

29965807872 is a wasteful number, since it uses less digits than its factorization.

29965807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 29965807872 in words is "twenty-nine billion, nine hundred sixty-five million, eight hundred seven thousand, eight hundred seventy-two".