10855977215281 has 27 divisors (see below), whose sum is σ = 12193803392043. Its totient is φ = 9657574351920.

The previous prime is 10855977215273. The next prime is 10855977215297. The reversal of 10855977215281 is 18251277955801.

The square root of 10855977215281 is 3294841.

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., 8976105880225 + 1879871335056 = 2996015^2 + 1371084^2 .

It is not a de Polignac number, because 10855977215281 - 2³ = 10855977215273 is a prime.

It is a super-2 number, since 2×10855977215281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10855977215261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1703429611 + ... + 1703435983.

Almost surely, 2^{10855977215281} is an apocalyptic number.

10855977215281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10855977215281 is the 3294841-st square number.

10855977215281 is the 1647421-st centered octagonal number.

It is an amenable number.

10855977215281 is a deficient number, since it is larger than the sum of its proper divisors (1337826176762).

10855977215281 is an frugal number, since it uses more digits than its factorization.

10855977215281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 61.

The spelling of 10855977215281 in words is "ten trillion, eight hundred fifty-five billion, nine hundred seventy-seven million, two hundred fifteen thousand, two hundred eighty-one".