11267621753 has 16 divisors (see below), whose sum is σ = 11637743040. Its totient is φ = 10905117696.

The previous prime is 11267621723. The next prime is 11267621767. The reversal of 11267621753 is 35712676211.

It is a cyclic number.

It is not a de Polignac number, because 11267621753 - 2¹⁰ = 11267620729 is a prime.

It is a super-3 number, since 3×11267621753³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11267621753.

It is not an unprimeable number, because it can be changed into a prime (11267621723) 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 15 ways as a sum of consecutive naturals, for example, 897125 + ... + 909597.

It is an arithmetic number, because the mean of its divisors is an integer number (727358940).

Almost surely, 2^11267621753 is an apocalyptic number.

It is an amenable number.

11267621753 is a deficient number, since it is larger than the sum of its proper divisors (370121287).

11267621753 is a wasteful number, since it uses less digits than its factorization.

11267621753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776.

The product of its digits is 105840, while the sum is 41.

The spelling of 11267621753 in words is "eleven billion, two hundred sixty-seven million, six hundred twenty-one thousand, seven hundred fifty-three".