989560464998400 has 387 divisors, whose sum is σ = 3544825487949421. Its totient is φ = 263882790666240.

The previous prime is 989560464998389. The next prime is 989560464998423. The reversal of 989560464998400 is 4899464065989.

The square root of 989560464998400 is 31457280.

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

It is a Jordan-Polya number, since it can be written as (5!)² ⋅ (2!)³⁶.

989560464998400 is a `hidden beast` number, since 9 + 8 + 9 + 5 + 6 + 0 + 46 + 499 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 356241767399424 + 633318697598976 = 18874368^2 + 25165824^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 989560464998400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 197912092999678 + ... + 197912092999682.

Almost surely, 2^{989560464998400} is an apocalyptic number.

989560464998400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

989560464998400 is the 31457280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989560464998400

989560464998400 is an abundant number, since it is smaller than the sum of its proper divisors (2555265022951021).

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

989560464998400 is an frugal number, since it uses more digits than its factorization.

989560464998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4837294080, while the sum is 81.

The spelling of 989560464998400 in words is "nine hundred eighty-nine trillion, five hundred sixty billion, four hundred sixty-four million, nine hundred ninety-eight thousand, four hundred".