10518766956 has 72 divisors (see below), whose sum is σ = 26938954224. Its totient is φ = 3460216320.

The previous prime is 10518766879. The next prime is 10518766967. The reversal of 10518766956 is 65966781501.

10518766956 is a `hidden beast` number, since 1 + 0 + 518 + 76 + 6 + 9 + 56 = 666.

It is a super-3 number, since 3×10518766956³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4424040 + ... + 4426416.

It is an arithmetic number, because the mean of its divisors is an integer number (374152142).

Almost surely, 2^10518766956 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 10518766956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13469477112).

10518766956 is an abundant number, since it is smaller than the sum of its proper divisors (16420187268).

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

10518766956 is a wasteful number, since it uses less digits than its factorization.

10518766956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 10518766956 in words is "ten billion, five hundred eighteen million, seven hundred sixty-six thousand, nine hundred fifty-six".