10966052160 has 560 divisors, whose sum is σ = 46941882240. Its totient is φ = 2373857280.

The previous prime is 10966052159. The next prime is 10966052191. The reversal of 10966052160 is 6125066901.

10966052160 is a `hidden beast` number, since 10 + 9 + 6 + 60 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3445770 + ... + 3448950.

Almost surely, 2^10966052160 is an apocalyptic number.

10966052160 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 10966052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470941120).

10966052160 is an abundant number, since it is smaller than the sum of its proper divisors (35975830080).

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

10966052160 is a wasteful number, since it uses less digits than its factorization.

10966052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10966052160 in words is "ten billion, nine hundred sixty-six million, fifty-two thousand, one hundred sixty".