88241356800 has 720 divisors, whose sum is σ = 331549612800. Its totient is φ = 23003136000.

The previous prime is 88241356751. The next prime is 88241356807. The reversal of 88241356800 is 865314288.

88241356800 is a `hidden beast` number, since 8 + 82 + 4 + 1 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (88241356807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873676750 + ... + 873676850.

Almost surely, 2^88241356800 is an apocalyptic number.

88241356800 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 88241356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165774806400).

88241356800 is an abundant number, since it is smaller than the sum of its proper divisors (243308256000).

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

88241356800 is a wasteful number, since it uses less digits than its factorization.

88241356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 88241356800 in words is "eighty-eight billion, two hundred forty-one million, three hundred fifty-six thousand, eight hundred".