9757892985 has 32 divisors (see below), whose sum is σ = 17401080960. Its totient is φ = 4640283648.

The previous prime is 9757892957. The next prime is 9757892987. The reversal of 9757892985 is 5892987579.

9757892985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9757892985 - 2¹⁰ = 9757891961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9757892987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002162 + ... + 1011851.

It is an arithmetic number, because the mean of its divisors is an integer number (543783780).

Almost surely, 2^9757892985 is an apocalyptic number.

9757892985 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9757892985 is a deficient number, since it is larger than the sum of its proper divisors (7643187975).

9757892985 is a wasteful number, since it uses less digits than its factorization.

9757892985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014057.

The product of its digits is 114307200, while the sum is 69.

The square root of 9757892985 is about 98782.0478882676. The cubic root of 9757892985 is about 2136.9056645189.

The spelling of 9757892985 in words is "nine billion, seven hundred fifty-seven million, eight hundred ninety-two thousand, nine hundred eighty-five".