11255261472 has 768 divisors, whose sum is σ = 42857579520. Its totient is φ = 2794881024.

The previous prime is 11255261471. The next prime is 11255261491. The reversal of 11255261472 is 27416255211.

11255261472 is a `hidden beast` number, since 1 + 1 + 2 + 552 + 61 + 47 + 2 = 666.

11255261472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11255261471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154181628 + ... + 154181700.

It is an arithmetic number, because the mean of its divisors is an integer number (55804140).

Almost surely, 2^11255261472 is an apocalyptic number.

11255261472 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 11255261472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21428789760).

11255261472 is an abundant number, since it is smaller than the sum of its proper divisors (31602318048).

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

11255261472 is a wasteful number, since it uses less digits than its factorization.

11255261472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The spelling of 11255261472 in words is "eleven billion, two hundred fifty-five million, two hundred sixty-one thousand, four hundred seventy-two".