88480993440 has 768 divisors, whose sum is σ = 348669619200. Its totient is φ = 18785894400.

The previous prime is 88480993409. The next prime is 88480993487. The reversal of 88480993440 is 4439908488.

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, 282686724 + ... + 282687036.

It is an arithmetic number, because the mean of its divisors is an integer number (453996900).

Almost surely, 2^88480993440 is an apocalyptic number.

88480993440 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 88480993440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174334809600).

88480993440 is an abundant number, since it is smaller than the sum of its proper divisors (260188625760).

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

88480993440 is a wasteful number, since it uses less digits than its factorization.

88480993440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 88480993440 in words is "eighty-eight billion, four hundred eighty million, nine hundred ninety-three thousand, four hundred forty".