10956166080 has 448 divisors, whose sum is σ = 38248742400. Its totient is φ = 2647572480.

The previous prime is 10956166073. The next prime is 10956166087. The reversal of 10956166080 is 8066165901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10956166073) and next prime (10956166087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10956166087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47843406 + ... + 47843634.

Almost surely, 2^10956166080 is an apocalyptic number.

10956166080 is a gapful number since it is divisible by the number (10) 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 10956166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19124371200).

10956166080 is an abundant number, since it is smaller than the sum of its proper divisors (27292576320).

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

10956166080 is a wasteful number, since it uses less digits than its factorization.

10956166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 10956166080 in words is "ten billion, nine hundred fifty-six million, one hundred sixty-six thousand, eighty".