11272476264 has 96 divisors (see below), whose sum is σ = 32913669600. Its totient is φ = 3207792000.

The previous prime is 11272476253. The next prime is 11272476289. The reversal of 11272476264 is 46267427211.

It is a super-2 number, since 2×11272476264² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276082 + ... + 314270.

It is an arithmetic number, because the mean of its divisors is an integer number (342850725).

Almost surely, 2^11272476264 is an apocalyptic number.

11272476264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11272476264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16456834800).

11272476264 is an abundant number, since it is smaller than the sum of its proper divisors (21641193336).

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

11272476264 is a wasteful number, since it uses less digits than its factorization.

11272476264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38463 (or 38452 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The spelling of 11272476264 in words is "eleven billion, two hundred seventy-two million, four hundred seventy-six thousand, two hundred sixty-four".