88448488800 has 432 divisors, whose sum is σ = 342711940032. Its totient is φ = 19745510400.

The previous prime is 88448488753. The next prime is 88448488819. The reversal of 88448488800 is 888484488.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5048055 + ... + 5065545.

It is an arithmetic number, because the mean of its divisors is an integer number (793314676).

Almost surely, 2^88448488800 is an apocalyptic number.

88448488800 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 88448488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171355970016).

88448488800 is an abundant number, since it is smaller than the sum of its proper divisors (254263451232).

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

88448488800 is a wasteful number, since it uses less digits than its factorization.

88448488800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17571 (or 17551 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 60.

The spelling of 88448488800 in words is "eighty-eight billion, four hundred forty-eight million, four hundred eighty-eight thousand, eight hundred".