98859936400 has 135 divisors (see below), whose sum is σ = 241770418281. Its totient is φ = 38847219840.

The previous prime is 98859936397. The next prime is 98859936449. The reversal of 98859936400 is 463995889.

The square root of 98859936400 is 314420.

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

98859936400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 35589577104 + 63270359296 = 188652^2 + 251536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 496783501 + ... + 496783699.

Almost surely, 2^98859936400 is an apocalyptic number.

98859936400 is the 314420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98859936400

98859936400 is an abundant number, since it is smaller than the sum of its proper divisors (142910481881).

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

98859936400 is an equidigital number, since it uses as much as digits as its factorization.

98859936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 61.

The spelling of 98859936400 in words is "ninety-eight billion, eight hundred fifty-nine million, nine hundred thirty-six thousand, four hundred".