11253272706 has 256 divisors, whose sum is σ = 29618265600. Its totient is φ = 3135283200.

The previous prime is 11253272683. The next prime is 11253272743. The reversal of 11253272706 is 60727235211.

11253272706 is a `hidden beast` number, since 112 + 532 + 7 + 2 + 7 + 0 + 6 = 666.

11253272706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11253272706² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 53332941 + ... + 53333151.

It is an arithmetic number, because the mean of its divisors is an integer number (115696350).

Almost surely, 2^11253272706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11253272706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809132800).

11253272706 is an abundant number, since it is smaller than the sum of its proper divisors (18364992894).

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

11253272706 is a wasteful number, since it uses less digits than its factorization.

11253272706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 11253272706 in words is "eleven billion, two hundred fifty-three million, two hundred seventy-two thousand, seven hundred six".