88041486624 has 384 divisors, whose sum is σ = 290358577152. Its totient is φ = 22742138880.

The previous prime is 88041486521. The next prime is 88041486647. The reversal of 88041486624 is 42668414088.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90670459 + ... + 90671429.

It is an arithmetic number, because the mean of its divisors is an integer number (756142128).

Almost surely, 2^88041486624 is an apocalyptic number.

88041486624 is a gapful number since it is divisible by the number (84) 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 88041486624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145179288576).

88041486624 is an abundant number, since it is smaller than the sum of its proper divisors (202317090528).

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

88041486624 is a wasteful number, since it uses less digits than its factorization.

88041486624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 88041486624 in words is "eighty-eight billion, forty-one million, four hundred eighty-six thousand, six hundred twenty-four".