29139730513920 has 1440 divisors, whose sum is σ = 112778909687808. Its totient is φ = 6913341259776.

The previous prime is 29139730513913. The next prime is 29139730513939. The reversal of 29139730513920 is 2931503793192.

29139730513920 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 9 + 7 + 30 + 513 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45038223037 + ... + 45038223683.

Almost surely, 2^{29139730513920} is an apocalyptic number.

29139730513920 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 29139730513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56389454843904).

29139730513920 is an abundant number, since it is smaller than the sum of its proper divisors (83639179173888).

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

29139730513920 is a wasteful number, since it uses less digits than its factorization.

29139730513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 29139730513920 in words is "twenty-nine trillion, one hundred thirty-nine billion, seven hundred thirty million, five hundred thirteen thousand, nine hundred twenty".