10896858479521 has 27 divisors (see below), whose sum is σ = 12718036081881. Its totient is φ = 9309246879744.

The previous prime is 10896858479509. The next prime is 10896858479527. The reversal of 10896858479521 is 12597485869801.

The square root of 10896858479521 is 3301039.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5578595229025 + 5318263250496 = 2361905^2 + 2306136^2 .

It is not a de Polignac number, because 10896858479521 - 2⁵ = 10896858479489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10896858479527) 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, 9450874081 + ... + 9450875233.

It is an arithmetic number, because the mean of its divisors is an integer number (471038373403).

Almost surely, 2^{10896858479521} is an apocalyptic number.

10896858479521 is the 3301039-th square number.

10896858479521 is the 1650520-th centered octagonal number.

It is an amenable number.

10896858479521 is a deficient number, since it is larger than the sum of its proper divisors (1821177602360).

10896858479521 is an frugal number, since it uses more digits than its factorization.

10896858479521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 73.

The spelling of 10896858479521 in words is "ten trillion, eight hundred ninety-six billion, eight hundred fifty-eight million, four hundred seventy-nine thousand, five hundred twenty-one".