9751116960 has 480 divisors, whose sum is σ = 38276485632. Its totient is φ = 2321602560.

The previous prime is 9751116913. The next prime is 9751116983. The reversal of 9751116960 is 696111579.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5221947 + ... + 5223813.

Almost surely, 2^9751116960 is an apocalyptic number.

9751116960 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 9751116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138242816).

9751116960 is an abundant number, since it is smaller than the sum of its proper divisors (28525368672).

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

9751116960 is a wasteful number, since it uses less digits than its factorization.

9751116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 9751116960 is about 98747.7440754977. The cubic root of 9751116960 is about 2136.4109170303.

The spelling of 9751116960 in words is "nine billion, seven hundred fifty-one million, one hundred sixteen thousand, nine hundred sixty".