88841188800 has 1680 divisors, whose sum is σ = 416589780992. Its totient is φ = 18139852800.

The previous prime is 88841188789. The next prime is 88841188819. The reversal of 88841188800 is 888114888.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2865844785 + ... + 2865844815.

Almost surely, 2^88841188800 is an apocalyptic number.

88841188800 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 88841188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208294890496).

88841188800 is an abundant number, since it is smaller than the sum of its proper divisors (327748592192).

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

88841188800 is an equidigital number, since it uses as much as digits as its factorization.

88841188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 54.

The spelling of 88841188800 in words is "eighty-eight billion, eight hundred forty-one million, one hundred eighty-eight thousand, eight hundred".