88129192320 has 640 divisors, whose sum is σ = 340938370080. Its totient is φ = 21565440000.

The previous prime is 88129192303. The next prime is 88129192321. The reversal of 88129192320 is 2329192188.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 (88129192321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169153660 + ... + 169154180.

Almost surely, 2^88129192320 is an apocalyptic number.

88129192320 is a gapful number since it is divisible by the number (80) 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 88129192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170469185040).

88129192320 is an abundant number, since it is smaller than the sum of its proper divisors (252809177760).

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

88129192320 is a wasteful number, since it uses less digits than its factorization.

88129192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 88129192320 in words is "eighty-eight billion, one hundred twenty-nine million, one hundred ninety-two thousand, three hundred twenty".