10774772160768 has 2592 divisors, whose sum is σ = 44800096094208. Its totient is φ = 2514676285440.

The previous prime is 10774772160743. The next prime is 10774772160821. The reversal of 10774772160768 is 86706127747701.

10774772160768 is a `hidden beast` number, since 1 + 0 + 77 + 477 + 21 + 6 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×10774772160768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20601858555 + ... + 20601859077.

Almost surely, 2^{10774772160768} is an apocalyptic number.

10774772160768 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 10774772160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400048047104).

10774772160768 is an abundant number, since it is smaller than the sum of its proper divisors (34025323933440).

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

10774772160768 is a wasteful number, since it uses less digits than its factorization.

10774772160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 38723328, while the sum is 63.

The spelling of 10774772160768 in words is "ten trillion, seven hundred seventy-four billion, seven hundred seventy-two million, one hundred sixty thousand, seven hundred sixty-eight".