980668800000 has 792 divisors, whose sum is σ = 3749416240752. Its totient is φ = 246005760000.

The previous prime is 980668799977. The next prime is 980668800037. The reversal of 980668800000 is 8866089.

It is a super-2 number, since 2×980668800000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 489598999 + ... + 489601001.

Almost surely, 2^980668800000 is an apocalyptic number.

980668800000 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 980668800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874708120376).

980668800000 is an abundant number, since it is smaller than the sum of its proper divisors (2768747440752).

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

980668800000 is a wasteful number, since it uses less digits than its factorization.

980668800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 980668800000 in words is "nine hundred eighty billion, six hundred sixty-eight million, eight hundred thousand".