29438115706920 has 64 divisors (see below), whose sum is σ = 90468355602240. Its totient is φ = 7658696768000.

The previous prime is 29438115706913. The next prime is 29438115706939. The reversal of 29438115706920 is 2960751183492.

It is a super-2 number, since 2×29438115706920² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2991673506 + ... + 2991683345.

It is an arithmetic number, because the mean of its divisors is an integer number (1413568056285).

It is a 1-persistent number, because it is pandigital, but 2⋅29438115706920 = 58876231413840 is not.

Almost surely, 2^{29438115706920} is an apocalyptic number.

29438115706920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29438115706920 is an abundant number, since it is smaller than the sum of its proper divisors (61030239895320).

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

29438115706920 is a wasteful number, since it uses less digits than its factorization.

29438115706920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983356906 (or 5983356902 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 29438115706920 in words is "twenty-nine trillion, four hundred thirty-eight billion, one hundred fifteen million, seven hundred six thousand, nine hundred twenty".