88542538560 has 560 divisors, whose sum is σ = 361697381760. Its totient is φ = 20140462080.

The previous prime is 88542538517. The next prime is 88542538597. The reversal of 88542538560 is 6583524588.

88542538560 is a `hidden beast` number, since 8 + 8 + 5 + 42 + 5 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×88542538560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 88542538497 and 88542538506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41548695 + ... + 41550825.

Almost surely, 2^88542538560 is an apocalyptic number.

88542538560 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 88542538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180848690880).

88542538560 is an abundant number, since it is smaller than the sum of its proper divisors (273154843200).

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

88542538560 is a wasteful number, since it uses less digits than its factorization.

88542538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 88542538560 in words is "eighty-eight billion, five hundred forty-two million, five hundred thirty-eight thousand, five hundred sixty".