88884804400 has 180 divisors, whose sum is σ = 261485678280. Its totient is φ = 28870732800.

The previous prime is 88884804391. The next prime is 88884804451. The reversal of 88884804400 is 440848888.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 253060 + ... + 491740.

Almost surely, 2^88884804400 is an apocalyptic number.

88884804400 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 88884804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130742839140).

88884804400 is an abundant number, since it is smaller than the sum of its proper divisors (172600873880).

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

88884804400 is a wasteful number, since it uses less digits than its factorization.

88884804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238732 (or 238714 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 88884804400 in words is "eighty-eight billion, eight hundred eighty-four million, eight hundred four thousand, four hundred".