986568404400 has 180 divisors, whose sum is σ = 3428026529512. Its totient is φ = 262749864960.

The previous prime is 986568404399. The next prime is 986568404491. The reversal of 986568404400 is 4404865689.

986568404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2659092 + ... + 3007308.

Almost surely, 2^986568404400 is an apocalyptic number.

986568404400 is a gapful number since it is divisible by the number (90) 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 986568404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714013264756).

986568404400 is an abundant number, since it is smaller than the sum of its proper divisors (2441458125112).

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

986568404400 is a wasteful number, since it uses less digits than its factorization.

986568404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349028 (or 349014 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

It can be divided in two parts, 98656 and 8404400, that added together give a 4-th power (8503056 = 54⁴).

The spelling of 986568404400 in words is "nine hundred eighty-six billion, five hundred sixty-eight million, four hundred four thousand, four hundred".