11804086272 has 312 divisors, whose sum is σ = 36708523488. Its totient is φ = 3359375360.

The previous prime is 11804086249. The next prime is 11804086313. The reversal of 11804086272 is 27268040811.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11804086272.

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, 25276183 + ... + 25276649.

It is an arithmetic number, because the mean of its divisors is an integer number (117655524).

Almost surely, 2^11804086272 is an apocalyptic number.

11804086272 is a gapful number since it is divisible by the number (12) 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 11804086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18354261744).

11804086272 is an abundant number, since it is smaller than the sum of its proper divisors (24904437216).

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

11804086272 is a wasteful number, since it uses less digits than its factorization.

11804086272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 11804086272 in words is "eleven billion, eight hundred four million, eighty-six thousand, two hundred seventy-two".