88641528960 has 512 divisors, whose sum is σ = 308856913920. Its totient is φ = 21556592640.

The previous prime is 88641528893. The next prime is 88641529057. The reversal of 88641528960 is 6982514688.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 88641528960.

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, 99933637 + ... + 99934523.

It is an arithmetic number, because the mean of its divisors is an integer number (603236160).

Almost surely, 2^88641528960 is an apocalyptic number.

88641528960 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 88641528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154428456960).

88641528960 is an abundant number, since it is smaller than the sum of its proper divisors (220215384960).

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

88641528960 is a wasteful number, since it uses less digits than its factorization.

88641528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 88641528960 in words is "eighty-eight billion, six hundred forty-one million, five hundred twenty-eight thousand, nine hundred sixty".