988959578400 has 108 divisors (see below), whose sum is σ = 3487318738722. Its totient is φ = 263722552320.

The previous prime is 988959578393. The next prime is 988959578401. The reversal of 988959578400 is 4875959889.

988959578400 is a `hidden beast` number, since 9 + 8 + 8 + 9 + 5 + 9 + 578 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 787031573904 + 201928004496 = 887148^2 + 449364^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (988959578401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68670549 + ... + 68684948.

Almost surely, 2^988959578400 is an apocalyptic number.

988959578400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

988959578400 is an abundant number, since it is smaller than the sum of its proper divisors (2498359160322).

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

988959578400 is a wasteful number, since it uses less digits than its factorization.

988959578400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137355523 (or 137355507 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 988959578400 in words is "nine hundred eighty-eight billion, nine hundred fifty-nine million, five hundred seventy-eight thousand, four hundred".