29442538125 has 600 divisors, whose sum is σ = 76015092384. Its totient is φ = 11158560000.

The previous prime is 29442538117. The next prime is 29442538141. The reversal of 29442538125 is 52183524492.

29442538125 is a `hidden beast` number, since 2 + 94 + 4 + 2 + 538 + 1 + 25 = 666.

It is not a de Polignac number, because 29442538125 - 2³ = 29442538117 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 354729334 + ... + 354729416.

Almost surely, 2^29442538125 is an apocalyptic number.

29442538125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29442538125 is an abundant number, since it is smaller than the sum of its proper divisors (46572554259).

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

29442538125 is a wasteful number, since it uses less digits than its factorization.

29442538125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 29442538125 in words is "twenty-nine billion, four hundred forty-two million, five hundred thirty-eight thousand, one hundred twenty-five".