88804004400 has 480 divisors, whose sum is σ = 322827115520. Its totient is φ = 23181189120.

The previous prime is 88804004389. The next prime is 88804004437. The reversal of 88804004400 is 440040888.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107902389 + ... + 107903211.

Almost surely, 2^88804004400 is an apocalyptic number.

88804004400 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 88804004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161413557760).

88804004400 is an abundant number, since it is smaller than the sum of its proper divisors (234023111120).

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

88804004400 is a wasteful number, since it uses less digits than its factorization.

88804004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 88804004400 in words is "eighty-eight billion, eight hundred four million, four thousand, four hundred".