10766380464900 has 54 divisors (see below), whose sum is σ = 33746621437802. Its totient is φ = 2871034790400.

The previous prime is 10766380464887. The next prime is 10766380464913. The reversal of 10766380464900 is 946408366701.

10766380464900 is a `hidden beast` number, since 1 + 0 + 7 + 66 + 38 + 0 + 464 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10766380464887) and next prime (10766380464913).

It can be written as a sum of positive squares in 3 ways, for example, as 1926188688384 + 8840191776516 = 1387872^2 + 2973246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5981321581 + ... + 5981323380.

Almost surely, 2^{10766380464900} is an apocalyptic number.

10766380464900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10766380464900 is an abundant number, since it is smaller than the sum of its proper divisors (22980240972902).

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

10766380464900 is a wasteful number, since it uses less digits than its factorization.

10766380464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962644981 (or 11962644971 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10766380464900 in words is "ten trillion, seven hundred sixty-six billion, three hundred eighty million, four hundred sixty-four thousand, nine hundred".