9990949576860 has 216 divisors, whose sum is σ = 35294846474160. Its totient is φ = 2280985394688.

The previous prime is 9990949576819. The next prime is 9990949576901. The reversal of 9990949576860 is 686759490999.

9990949576860 is a `hidden beast` number, since 9 + 9 + 9 + 0 + 9 + 495 + 7 + 68 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (9990949576819) and next prime (9990949576901).

It is a self number, because there is not a number n which added to its sum of digits gives 9990949576860.

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, 6917032 + ... + 8235728.

It is an arithmetic number, because the mean of its divisors is an integer number (163402067010).

Almost surely, 2^{9990949576860} is an apocalyptic number.

9990949576860 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 9990949576860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647423237080).

9990949576860 is an abundant number, since it is smaller than the sum of its proper divisors (25303896897300).

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

9990949576860 is a wasteful number, since it uses less digits than its factorization.

9990949576860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319585 (or 1319573 counting only the distinct ones).

The product of its (nonzero) digits is 2380855680, while the sum is 81.

The spelling of 9990949576860 in words is "nine trillion, nine hundred ninety billion, nine hundred forty-nine million, five hundred seventy-six thousand, eight hundred sixty".