89988000400 has 135 divisors (see below), whose sum is σ = 221133690939. Its totient is φ = 35191253760.

The previous prime is 89988000383. The next prime is 89988000407. The reversal of 89988000400 is 400088998.

The square root of 89988000400 is 299980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 677873296 + 89310127104 = 26036^2 + 298848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89988000407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 317978659 + ... + 317978941.

Almost surely, 2^89988000400 is an apocalyptic number.

89988000400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89988000400 is the 299980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89988000400

89988000400 is an abundant number, since it is smaller than the sum of its proper divisors (131145690539).

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

89988000400 is an equidigital number, since it uses as much as digits as its factorization.

89988000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 89988000400 in words is "eighty-nine billion, nine hundred eighty-eight million, four hundred", and thus it is an aban number.