10776720400 has 30 divisors (see below), whose sum is σ = 25891071722. Its totient is φ = 4310688000.

The previous prime is 10776720397. The next prime is 10776720401. The reversal of 10776720400 is 402767701.

It can be written as a sum of positive squares in 3 ways, for example, as 2102405904 + 8674314496 = 45852^2 + 93136^2 .

It is a super-2 number, since 2×10776720400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10776720401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 13470501 + ... + 13471300.

Almost surely, 2^10776720400 is an apocalyptic number.

10776720400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10776720400 is an abundant number, since it is smaller than the sum of its proper divisors (15114351322).

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

10776720400 is a wasteful number, since it uses less digits than its factorization.

10776720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26941819 (or 26941808 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The spelling of 10776720400 in words is "ten billion, seven hundred seventy-six million, seven hundred twenty thousand, four hundred".