10780876561 has 45 divisors (see below), whose sum is σ = 13702881339. Its totient is φ = 8477593488.

The previous prime is 10780876511. The next prime is 10780876573. The reversal of 10780876561 is 16567808701.

The square root of 10780876561 is 103831.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1594804225 + 9186072336 = 39935^2 + 95844^2 .

It is not a de Polignac number, because 10780876561 - 2³¹ = 8633392913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10780876511) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66140266 + ... + 66140428.

Almost surely, 2^10780876561 is an apocalyptic number.

10780876561 is the 103831-st square number.

10780876561 is the 51916-th centered octagonal number.

It is an amenable number.

10780876561 is a deficient number, since it is larger than the sum of its proper divisors (2922004778).

10780876561 is an frugal number, since it uses more digits than its factorization.

10780876561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

Multiplying 10780876561 by its sum of digits (49), we get a square (528262951489 = 726817²).

10780876561 divided by its sum of digits (49) gives a square (220017889 = 14833²).

The spelling of 10780876561 in words is "ten billion, seven hundred eighty million, eight hundred seventy-six thousand, five hundred sixty-one".