10718292804768 has 120 divisors (see below), whose sum is σ = 31535696031840. Its totient is φ = 3571234773120.

The previous prime is 10718292804749. The next prime is 10718292804823. The reversal of 10718292804768 is 86740829281701.

10718292804768 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 82 + 9 + 2 + 80 + 476 + 8 = 666.

It is a super-2 number, since 2×10718292804768² (a number of 27 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 5178733 + ... + 6946643.

It is an arithmetic number, because the mean of its divisors is an integer number (262797466932).

Almost surely, 2^{10718292804768} is an apocalyptic number.

10718292804768 is a gapful number since it is divisible by the number (18) 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 10718292804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767848015920).

10718292804768 is an abundant number, since it is smaller than the sum of its proper divisors (20817403227072).

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

10718292804768 is a wasteful number, since it uses less digits than its factorization.

10718292804768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770272 (or 1770255 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 10718292804768 in words is "ten trillion, seven hundred eighteen billion, two hundred ninety-two million, eight hundred four thousand, seven hundred sixty-eight".