9997131980880 has 400 divisors, whose sum is σ = 38901762877824. Its totient is φ = 2358045250560.

The previous prime is 9997131980851. The next prime is 9997131980923. The reversal of 9997131980880 is 880891317999.

9997131980880 is a `hidden beast` number, since 9 + 99 + 71 + 319 + 80 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 9997131980799 and 9997131980808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 742069 + ... + 4532651.

Almost surely, 2^{9997131980880} is an apocalyptic number.

9997131980880 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 9997131980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450881438912).

9997131980880 is an abundant number, since it is smaller than the sum of its proper divisors (28904630896944).

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

9997131980880 is a wasteful number, since it uses less digits than its factorization.

9997131980880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790656 (or 3790641 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 72.

The spelling of 9997131980880 in words is "nine trillion, nine hundred ninety-seven billion, one hundred thirty-one million, nine hundred eighty thousand, eight hundred eighty".