9261516865536 has 1080 divisors, whose sum is σ = 30875022934560. Its totient is φ = 2741881798656.

The previous prime is 9261516865507. The next prime is 9261516865583. The reversal of 9261516865536 is 6355686151629.

It is a happy number.

9261516865536 is a `hidden beast` number, since 9 + 2 + 6 + 1 + 5 + 16 + 86 + 5 + 536 = 666.

Its product of digits (69984000) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138231594975 + ... + 138231595041.

Almost surely, 2^{9261516865536} is an apocalyptic number.

9261516865536 is a gapful number since it is divisible by the number (96) 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 9261516865536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437511467280).

9261516865536 is an abundant number, since it is smaller than the sum of its proper divisors (21613506069024).

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

9261516865536 is an equidigital number, since it uses as much as digits as its factorization.

9261516865536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 128 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 9261516865536 in words is "nine trillion, two hundred sixty-one billion, five hundred sixteen million, eight hundred sixty-five thousand, five hundred thirty-six".