88638010560 has 448 divisors, whose sum is σ = 342439142400. Its totient is φ = 21405081600.

The previous prime is 88638010537. The next prime is 88638010561. The reversal of 88638010560 is 6501083688.

88638010560 is a `hidden beast` number, since 8 + 8 + 6 + 3 + 80 + 1 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88638010561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26704581 + ... + 26707899.

Almost surely, 2^88638010560 is an apocalyptic number.

88638010560 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 88638010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171219571200).

88638010560 is an abundant number, since it is smaller than the sum of its proper divisors (253801131840).

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

88638010560 is a wasteful number, since it uses less digits than its factorization.

88638010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 88638010560 in words is "eighty-eight billion, six hundred thirty-eight million, ten thousand, five hundred sixty".