88804044884400 has 480 divisors, whose sum is σ = 294884226582528. Its totient is φ = 22826586931200.

The previous prime is 88804044884371. The next prime is 88804044884519. The reversal of 88804044884400 is 448844040888.

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

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 95 ways as a sum of consecutive naturals, for example, 3530542224 + ... + 3530567376.

Almost surely, 2^{88804044884400} is an apocalyptic number.

88804044884400 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 88804044884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147442113291264).

88804044884400 is an abundant number, since it is smaller than the sum of its proper divisors (206080181698128).

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

88804044884400 is a wasteful number, since it uses less digits than its factorization.

88804044884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25949 (or 25938 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 60.

The spelling of 88804044884400 in words is "eighty-eight trillion, eight hundred four billion, forty-four million, eight hundred eighty-four thousand, four hundred".