88353982080 has 768 divisors, whose sum is σ = 382002566400. Its totient is φ = 18319343616.

The previous prime is 88353981997. The next prime is 88353982097. The reversal of 88353982080 is 8028935388.

88353982080 is a `hidden beast` number, since 8 + 8 + 3 + 539 + 8 + 20 + 80 = 666.

It is a super-2 number, since 2×88353982080² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30924012 + ... + 30926868.

It is an arithmetic number, because the mean of its divisors is an integer number (497399175).

Almost surely, 2^88353982080 is an apocalyptic number.

88353982080 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 88353982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191001283200).

88353982080 is an abundant number, since it is smaller than the sum of its proper divisors (293648584320).

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

88353982080 is a wasteful number, since it uses less digits than its factorization.

88353982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 88353982080 in words is "eighty-eight billion, three hundred fifty-three million, nine hundred eighty-two thousand, eighty".