88525517600 has 144 divisors (see below), whose sum is σ = 234223711848. Its totient is φ = 32477552640.

The previous prime is 88525517569. The next prime is 88525517651. The reversal of 88525517600 is 671552588.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6864453904 + 81661063696 = 82852^2 + 285764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605692 + ... + 1659908.

Almost surely, 2^88525517600 is an apocalyptic number.

88525517600 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 88525517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117111855924).

88525517600 is an abundant number, since it is smaller than the sum of its proper divisors (145698194248).

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

88525517600 is a wasteful number, since it uses less digits than its factorization.

88525517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54407 (or 54394 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 47.

The spelling of 88525517600 in words is "eighty-eight billion, five hundred twenty-five million, five hundred seventeen thousand, six hundred".