9996951000960 has 3840 divisors, whose sum is σ = 49354887859200. Its totient is φ = 1878781132800.

The previous prime is 9996951000931. The next prime is 9996951001001. The reversal of 9996951000960 is 690001596999.

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, 19188005500 + ... + 19188006020.

It is an arithmetic number, because the mean of its divisors is an integer number (12852835380).

Almost surely, 2^{9996951000960} is an apocalyptic number.

9996951000960 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 9996951000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24677443929600).

9996951000960 is an abundant number, since it is smaller than the sum of its proper divisors (39357936858240).

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

9996951000960 is a wasteful number, since it uses less digits than its factorization.

9996951000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 10628820, while the sum is 63.

The spelling of 9996951000960 in words is "nine trillion, nine hundred ninety-six billion, nine hundred fifty-one million, nine hundred sixty", and thus it is an aban number.