11352763264 has 64 divisors (see below), whose sum is σ = 23875344000. Its totient is φ = 5362232832.

The previous prime is 11352763249. The next prime is 11352763267. The reversal of 11352763264 is 46236725311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352763267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866587 + ... + 879589.

It is an arithmetic number, because the mean of its divisors is an integer number (373052250).

Almost surely, 2^11352763264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937672000).

11352763264 is an abundant number, since it is smaller than the sum of its proper divisors (12522580736).

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

11352763264 is a wasteful number, since it uses less digits than its factorization.

11352763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13395 (or 13383 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The spelling of 11352763264 in words is "eleven billion, three hundred fifty-two million, seven hundred sixty-three thousand, two hundred sixty-four".