988579468800 has 3600 divisors, whose sum is σ = 4881932201520. Its totient is φ = 195084288000.

The previous prime is 988579468787. The next prime is 988579468817. The reversal of 988579468800 is 8864975889.

988579468800 is a `hidden beast` number, since 9 + 8 + 8 + 579 + 46 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×988579468800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 16206220770 + ... + 16206220830.

Almost surely, 2^988579468800 is an apocalyptic number.

988579468800 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 988579468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440966100760).

988579468800 is an abundant number, since it is smaller than the sum of its proper divisors (3893352732720).

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

988579468800 is a wasteful number, since it uses less digits than its factorization.

988579468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 988579468800 in words is "nine hundred eighty-eight billion, five hundred seventy-nine million, four hundred sixty-eight thousand, eight hundred".