88109029125 has 256 divisors, whose sum is σ = 180709401600. Its totient is φ = 42094080000.

The previous prime is 88109029121. The next prime is 88109029163. The reversal of 88109029125 is 52192090188.

It is not a de Polignac number, because 88109029125 - 2² = 88109029121 is a prime.

It is a super-3 number, since 3×88109029125³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88109029121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 261450957 + ... + 261451293.

It is an arithmetic number, because the mean of its divisors is an integer number (705896100).

Almost surely, 2^88109029125 is an apocalyptic number.

It is an amenable number.

88109029125 is an abundant number, since it is smaller than the sum of its proper divisors (92600372475).

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

88109029125 is a wasteful number, since it uses less digits than its factorization.

88109029125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 88109029125 in words is "eighty-eight billion, one hundred nine million, twenty-nine thousand, one hundred twenty-five".