10792148290560 has 2112 divisors, whose sum is σ = 48411753062400. Its totient is φ = 2160525312000.

The previous prime is 10792148290559. The next prime is 10792148290571. The reversal of 10792148290560 is 6509284129701.

It is a happy number.

10792148290560 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 21 + 482 + 90 + 56 + 0 = 666.

It is a super-2 number, since 2×10792148290560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10792148290497 and 10792148290506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14370370185 + ... + 14370370935.

Almost surely, 2^{10792148290560} is an apocalyptic number.

10792148290560 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 10792148290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24205876531200).

10792148290560 is an abundant number, since it is smaller than the sum of its proper divisors (37619604771840).

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

10792148290560 is a wasteful number, since it uses less digits than its factorization.

10792148290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10792148290560 in words is "ten trillion, seven hundred ninety-two billion, one hundred forty-eight million, two hundred ninety thousand, five hundred sixty".