10566081792 has 648 divisors, whose sum is σ = 38882276160. Its totient is φ = 2694021120.

The previous prime is 10566081769. The next prime is 10566081839. The reversal of 10566081792 is 29718066501.

10566081792 is a `hidden beast` number, since 1 + 0 + 566 + 0 + 81 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×10566081792² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 257709292 + ... + 257709332.

Almost surely, 2^10566081792 is an apocalyptic number.

10566081792 is a gapful number since it is divisible by the number (12) 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 10566081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19441138080).

10566081792 is an abundant number, since it is smaller than the sum of its proper divisors (28316194368).

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

10566081792 is a wasteful number, since it uses less digits than its factorization.

10566081792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10566081792 in words is "ten billion, five hundred sixty-six million, eighty-one thousand, seven hundred ninety-two".