9757081152 has 840 divisors, whose sum is σ = 37615465536. Its totient is φ = 2445520896.

The previous prime is 9757081127. The next prime is 9757081171. The reversal of 9757081152 is 2511807579.

It is a junction number, because it is equal to n+sod(n) for n = 9757081098 and 9757081107.

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 119 ways as a sum of consecutive naturals, for example, 226908843 + ... + 226908885.

Almost surely, 2^9757081152 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 9757081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18807732768).

9757081152 is an abundant number, since it is smaller than the sum of its proper divisors (27858384384).

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

9757081152 is a wasteful number, since it uses less digits than its factorization.

9757081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 9757081152 is about 98777.9385895454. The cubic root of 9757081152 is about 2136.8464010880.

The spelling of 9757081152 in words is "nine billion, seven hundred fifty-seven million, eighty-one thousand, one hundred fifty-two".