9902965426992 has 480 divisors, whose sum is σ = 32458207541760. Its totient is φ = 2895346944000.

The previous prime is 9902965426973. The next prime is 9902965427041. The reversal of 9902965426992 is 2996245692099.

9902965426992 is a `hidden beast` number, since 9 + 90 + 29 + 6 + 5 + 426 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9902965426992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3027502317 + ... + 3027505587.

It is an arithmetic number, because the mean of its divisors is an integer number (67621265712).

Almost surely, 2^{9902965426992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9902965426992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16229103770880).

9902965426992 is an abundant number, since it is smaller than the sum of its proper divisors (22555242114768).

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

9902965426992 is a wasteful number, since it uses less digits than its factorization.

9902965426992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5775 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 9902965426992 in words is "nine trillion, nine hundred two billion, nine hundred sixty-five million, four hundred twenty-six thousand, nine hundred ninety-two".