9902852960 has 576 divisors, whose sum is σ = 32678904384. Its totient is φ = 2810142720.

The previous prime is 9902852957. The next prime is 9902852977. The reversal of 9902852960 is 692582099.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9902852899 and 9902852908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135655484 + ... + 135655556.

It is an arithmetic number, because the mean of its divisors is an integer number (56734209).

Almost surely, 2^9902852960 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 9902852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339452192).

9902852960 is an abundant number, since it is smaller than the sum of its proper divisors (22776051424).

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

9902852960 is a wasteful number, since it uses less digits than its factorization.

9902852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 9902852960 is about 99513.0793413610. The cubic root of 9902852960 is about 2147.4354104522.

The spelling of 9902852960 in words is "nine billion, nine hundred two million, eight hundred fifty-two thousand, nine hundred sixty".