10680602409 has 15 divisors (see below), whose sum is σ = 15956363533. Its totient is φ = 7119781524.

The previous prime is 10680602371. The next prime is 10680602477. The reversal of 10680602409 is 90420608601.

The square root of 10680602409 is 103347.

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

10680602409 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 602 + 40 + 9 = 666.

It is not a de Polignac number, because 10680602409 - 2²³ = 10672213801 is a prime.

It is a super-2 number, since 2×10680602409² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10680602489) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 924382 + ... + 935864.

Almost surely, 2^10680602409 is an apocalyptic number.

10680602409 is the 103347-th square number.

10680602409 is the 51674-th centered octagonal number.

It is an amenable number.

10680602409 is a deficient number, since it is larger than the sum of its proper divisors (5275761124).

10680602409 is an frugal number, since it uses more digits than its factorization.

10680602409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22978 (or 11486 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 10680602409 by its sum of digits (36), we get a square (384501686724 = 620082²).

Multiplying 10680602409 by its product of nonzero digits (20736), we get a square (221472971553024 = 14881968²).

It can be divided in two parts, 10680 and 602409, that added together give a square (613089 = 783²).

The spelling of 10680602409 in words is "ten billion, six hundred eighty million, six hundred two thousand, four hundred nine".