29912924160 has 1020 divisors, whose sum is σ = 130175522928. Its totient is φ = 6539968512.

The previous prime is 29912924149. The next prime is 29912924203. The reversal of 29912924160 is 6142921992.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1300561909 + ... + 1300561931.

Almost surely, 2^29912924160 is an apocalyptic number.

29912924160 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 29912924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65087761464).

29912924160 is an abundant number, since it is smaller than the sum of its proper divisors (100262598768).

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

29912924160 is an frugal number, since it uses more digits than its factorization.

29912924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 29912924160 in words is "twenty-nine billion, nine hundred twelve million, nine hundred twenty-four thousand, one hundred sixty".