10767684402225 has 27 divisors (see below), whose sum is σ = 19286207334849. Its totient is φ = 5742738763200.

The previous prime is 10767684402127. The next prime is 10767684402239. The reversal of 10767684402225 is 52220448676701.

The square root of 10767684402225 is 3281415.

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

10767684402225 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 7 + 6 + 8 + 4 + 402 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3327097761 + 10764357304464 = 57681^2 + 3280908^2 .

It is not a de Polignac number, because 10767684402225 - 2⁹ = 10767684401713 is a prime.

It is a super-4 number, since 4×10767684402225⁴ (a number of 53 digits) contains 4444 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49111845 + ... + 49330605.

Almost surely, 2^{10767684402225} is an apocalyptic number.

10767684402225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10767684402225 is the 3281415-th square number.

10767684402225 is the 1640708-th centered octagonal number.

It is an amenable number.

10767684402225 is a deficient number, since it is larger than the sum of its proper divisors (8518522932624).

10767684402225 is an frugal number, since it uses more digits than its factorization.

10767684402225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437538 (or 218769 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 10767684402225 in words is "ten trillion, seven hundred sixty-seven billion, six hundred eighty-four million, four hundred two thousand, two hundred twenty-five".