88319488320 has 896 divisors, whose sum is σ = 369739468800. Its totient is φ = 19429023744.

The previous prime is 88319488307. The next prime is 88319488351. The reversal of 88319488320 is 2388491388.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 189120727 + ... + 189121193.

Almost surely, 2^88319488320 is an apocalyptic number.

88319488320 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 88319488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184869734400).

88319488320 is an abundant number, since it is smaller than the sum of its proper divisors (281419980480).

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

88319488320 is a wasteful number, since it uses less digits than its factorization.

88319488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 88319488320 in words is "eighty-eight billion, three hundred nineteen million, four hundred eighty-eight thousand, three hundred twenty".