88488624960 has 336 divisors, whose sum is σ = 329366733696. Its totient is φ = 22570555392.

The previous prime is 88488624953. The next prime is 88488624989. The reversal of 88488624960 is 6942688488.

88488624960 is a `hidden beast` number, since 8 + 8 + 4 + 88 + 62 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763742 + ... + 1813218.

It is an arithmetic number, because the mean of its divisors is an integer number (980258136).

Almost surely, 2^88488624960 is an apocalyptic number.

88488624960 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 88488624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164683366848).

88488624960 is an abundant number, since it is smaller than the sum of its proper divisors (240878108736).

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

88488624960 is a wasteful number, since it uses less digits than its factorization.

88488624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49532 (or 49510 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 88488624960 in words is "eighty-eight billion, four hundred eighty-eight million, six hundred twenty-four thousand, nine hundred sixty".