988998312960 has 792 divisors, whose sum is σ = 4010247895680. Its totient is φ = 224702005248.

The previous prime is 988998312923. The next prime is 988998312971. The reversal of 988998312960 is 69213899889.

It is a happy number.

988998312960 is a `hidden beast` number, since 98 + 89 + 98 + 312 + 9 + 60 = 666.

It is a super-2 number, since 2×988998312960² (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404166457 + ... + 404168903.

Almost surely, 2^988998312960 is an apocalyptic number.

988998312960 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 988998312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005123947840).

988998312960 is an abundant number, since it is smaller than the sum of its proper divisors (3021249582720).

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

988998312960 is a wasteful number, since it uses less digits than its factorization.

988998312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 988998312960 in words is "nine hundred eighty-eight billion, nine hundred ninety-eight million, three hundred twelve thousand, nine hundred sixty".