979891300800 has 1344 divisors, whose sum is σ = 3983916441600. Its totient is φ = 233327001600.

The previous prime is 979891300793. The next prime is 979891300889. The reversal of 979891300800 is 8003198979.

979891300800 is a `hidden beast` number, since 97 + 98 + 91 + 300 + 80 + 0 = 666.

It is a super-2 number, since 2×979891300800² (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 191 ways as a sum of consecutive naturals, for example, 893245852 + ... + 893246948.

Almost surely, 2^979891300800 is an apocalyptic number.

979891300800 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 979891300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991958220800).

979891300800 is an abundant number, since it is smaller than the sum of its proper divisors (3004025140800).

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

979891300800 is a wasteful number, since it uses less digits than its factorization.

979891300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 979891300800 in words is "nine hundred seventy-nine billion, eight hundred ninety-one million, three hundred thousand, eight hundred".