88852480320 has 224 divisors, whose sum is σ = 285870993408. Its totient is φ = 23379535872.

The previous prime is 88852480273. The next prime is 88852480349. The reversal of 88852480320 is 2308425888.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 88852480320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30354697 + ... + 30357623.

It is an arithmetic number, because the mean of its divisors is an integer number (1276209792).

Almost surely, 2^88852480320 is an apocalyptic number.

88852480320 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 88852480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142935496704).

88852480320 is an abundant number, since it is smaller than the sum of its proper divisors (197018513088).

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

88852480320 is a wasteful number, since it uses less digits than its factorization.

88852480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 88852480320 in words is "eighty-eight billion, eight hundred fifty-two million, four hundred eighty thousand, three hundred twenty".