11932486272 has 384 divisors, whose sum is σ = 42307315200. Its totient is φ = 3297853440.

The previous prime is 11932486271. The next prime is 11932486301. The reversal of 11932486272 is 27268423911.

11932486272 is a `hidden beast` number, since 1 + 19 + 3 + 2 + 4 + 8 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (11932486271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5248528 + ... + 5250800.

It is an arithmetic number, because the mean of its divisors is an integer number (110175300).

Almost surely, 2^11932486272 is an apocalyptic number.

11932486272 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 11932486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153657600).

11932486272 is an abundant number, since it is smaller than the sum of its proper divisors (30374828928).

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

11932486272 is a wasteful number, since it uses less digits than its factorization.

11932486272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2316 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 11932486272 in words is "eleven billion, nine hundred thirty-two million, four hundred eighty-six thousand, two hundred seventy-two".