9959119672320 has 5280 divisors, whose sum is σ = 50225312003328. Its totient is φ = 1830002098176.

The previous prime is 9959119672279. The next prime is 9959119672343. The reversal of 9959119672320 is 232769119599.

9959119672320 is a `hidden beast` number, since 9 + 9 + 59 + 1 + 196 + 72 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 231607434219 + ... + 231607434261.

Almost surely, 2^{9959119672320} is an apocalyptic number.

9959119672320 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 9959119672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25112656001664).

9959119672320 is an abundant number, since it is smaller than the sum of its proper divisors (40266192331008).

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

9959119672320 is a wasteful number, since it uses less digits than its factorization.

9959119672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 9959119672320 in words is "nine trillion, nine hundred fifty-nine billion, one hundred nineteen million, six hundred seventy-two thousand, three hundred twenty".