10792615680 has 864 divisors, whose sum is σ = 48671400960. Its totient is φ = 2145116160.

The previous prime is 10792615679. The next prime is 10792615693. The reversal of 10792615680 is 8651629701.

10792615680 is a `hidden beast` number, since 10 + 79 + 2 + 6 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 469244149 + ... + 469244171.

It is an arithmetic number, because the mean of its divisors is an integer number (56332640).

Almost surely, 2^10792615680 is an apocalyptic number.

10792615680 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 10792615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335700480).

10792615680 is an abundant number, since it is smaller than the sum of its proper divisors (37878785280).

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

10792615680 is an equidigital number, since it uses as much as digits as its factorization.

10792615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 51 counting only the distinct ones).

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

The spelling of 10792615680 in words is "ten billion, seven hundred ninety-two million, six hundred fifteen thousand, six hundred eighty".