8952651686960 has 160 divisors (see below), whose sum is σ = 21785157660672. Its totient is φ = 3415088286720.

The previous prime is 8952651686947. The next prime is 8952651686977. The reversal of 8952651686960 is 696861562598.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929561345 + ... + 929570975.

Almost surely, 2^{8952651686960} is an apocalyptic number.

8952651686960 is a gapful number since it is divisible by the number (80) 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 8952651686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892578830336).

8952651686960 is an abundant number, since it is smaller than the sum of its proper divisors (12832505973712).

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

8952651686960 is a wasteful number, since it uses less digits than its factorization.

8952651686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131 (or 11125 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 71.

The spelling of 8952651686960 in words is "eight trillion, nine hundred fifty-two billion, six hundred fifty-one million, six hundred eighty-six thousand, nine hundred sixty".