988724620800 has 840 divisors, whose sum is σ = 4197744269136. Its totient is φ = 225979269120.

The previous prime is 988724620783. The next prime is 988724620811. The reversal of 988724620800 is 8026427889.

988724620800 is a `hidden beast` number, since 9 + 8 + 8 + 7 + 2 + 4 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×988724620800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 65310832 + ... + 65325968.

Almost surely, 2^988724620800 is an apocalyptic number.

988724620800 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 988724620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098872134568).

988724620800 is an abundant number, since it is smaller than the sum of its proper divisors (3209019648336).

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

988724620800 is an equidigital number, since it uses as much as digits as its factorization.

988724620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15190 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 988724620800 in words is "nine hundred eighty-eight billion, seven hundred twenty-four million, six hundred twenty thousand, eight hundred".