9979191290880 has 2640 divisors, whose sum is σ = 43681286721600. Its totient is φ = 2177140654080.

The previous prime is 9979191290839. The next prime is 9979191290941. The reversal of 9979191290880 is 880921919799.

9979191290880 is a `hidden beast` number, since 9 + 9 + 79 + 191 + 290 + 8 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9979191290799 and 9979191290808.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 136701250524 + ... + 136701250596.

It is an arithmetic number, because the mean of its divisors is an integer number (16545941940).

Almost surely, 2^{9979191290880} is an apocalyptic number.

9979191290880 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 9979191290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840643360800).

9979191290880 is an abundant number, since it is smaller than the sum of its proper divisors (33702095430720).

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

9979191290880 is an equidigital number, since it uses as much as digits as its factorization.

9979191290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 72.

The spelling of 9979191290880 in words is "nine trillion, nine hundred seventy-nine billion, one hundred ninety-one million, two hundred ninety thousand, eight hundred eighty".