88824808128 has 224 divisors, whose sum is σ = 276751572480. Its totient is φ = 24618147840.

The previous prime is 88824808123. The next prime is 88824808133. The reversal of 88824808128 is 82180842888.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88824808123) and next prime (88824808133).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (88824808123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332643 + ... + 6346653.

Almost surely, 2^88824808128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88824808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138375786240).

88824808128 is an abundant number, since it is smaller than the sum of its proper divisors (187926764352).

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

88824808128 is a wasteful number, since it uses less digits than its factorization.

88824808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14175 (or 14165 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 57.

The spelling of 88824808128 in words is "eighty-eight billion, eight hundred twenty-four million, eight hundred eight thousand, one hundred twenty-eight".