88968000320 has 112 divisors (see below), whose sum is σ = 219358616400. Its totient is φ = 34328985600.

The previous prime is 88968000299. The next prime is 88968000419. The reversal of 88968000320 is 2300086988.

It can be written as a sum of positive squares in 8 ways, for example, as 2832794176 + 86135206144 = 53224^2 + 293488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12069596 + ... + 12076964.

It is an arithmetic number, because the mean of its divisors is an integer number (1958559075).

Almost surely, 2^88968000320 is an apocalyptic number.

88968000320 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 88968000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109679308200).

88968000320 is an abundant number, since it is smaller than the sum of its proper divisors (130390616080).

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

88968000320 is a wasteful number, since it uses less digits than its factorization.

88968000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8706 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 88968000320 in words is "eighty-eight billion, nine hundred sixty-eight million, three hundred twenty", and thus it is an aban number.