10678261953121 has 27 divisors (see below), whose sum is σ = 12467132238483. Its totient is φ = 9146070907680.

The previous prime is 10678261953091. The next prime is 10678261953179. The reversal of 10678261953121 is 12135916287601.

The square root of 10678261953121 is 3267761.

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., 1814303935521 + 8863958017600 = 1346961^2 + 2977240^2 .

It is not a de Polignac number, because 10678261953121 - 2⁹ = 10678261952609 is a prime.

It is a super-2 number, since 2×10678261953121² (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 (10678261953421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7845893481 + ... + 7845894841.

Almost surely, 2^{10678261953121} is an apocalyptic number.

10678261953121 is the 3267761-st square number.

10678261953121 is the 1633881-st centered octagonal number.

It is an amenable number.

10678261953121 is a deficient number, since it is larger than the sum of its proper divisors (1788870285362).

10678261953121 is an frugal number, since it uses more digits than its factorization.

10678261953121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 10678261953121 in words is "ten trillion, six hundred seventy-eight billion, two hundred sixty-one million, nine hundred fifty-three thousand, one hundred twenty-one".