10635764607504 has 45 divisors (see below), whose sum is σ = 29765478529839. Its totient is φ = 3545241824160.

The previous prime is 10635764607493. The next prime is 10635764607521. The reversal of 10635764607504 is 40570646753601.

The square root of 10635764607504 is 3261252.

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

10635764607504 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 5 + 76 + 4 + 60 + 7 + 504 = 666.

It is a super-2 number, since 2×10635764607504² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 38999139 + ... + 39270909.

Almost surely, 2^{10635764607504} is an apocalyptic number.

10635764607504 is the 3261252-nd square number.

It is an amenable number.

10635764607504 is an abundant number, since it is smaller than the sum of its proper divisors (19129713922335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10635764607504 is an frugal number, since it uses more digits than its factorization.

10635764607504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543556 (or 271776 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 10635764607504 in words is "ten trillion, six hundred thirty-five billion, seven hundred sixty-four million, six hundred seven thousand, five hundred four".