11139504264 has 320 divisors, whose sum is σ = 36643368960. Its totient is φ = 3096092160.

The previous prime is 11139504253. The next prime is 11139504289. The reversal of 11139504264 is 46240593111.

It is a happy number.

11139504264 is a `hidden beast` number, since 1 + 1 + 1 + 395 + 0 + 4 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35140234 + ... + 35140550.

It is an arithmetic number, because the mean of its divisors is an integer number (114510528).

Almost surely, 2^11139504264 is an apocalyptic number.

11139504264 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 11139504264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321684480).

11139504264 is an abundant number, since it is smaller than the sum of its proper divisors (25503864696).

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

11139504264 is a wasteful number, since it uses less digits than its factorization.

11139504264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11139504264 in words is "eleven billion, one hundred thirty-nine million, five hundred four thousand, two hundred sixty-four".