11357053272 has 192 divisors, whose sum is σ = 32135875200. Its totient is φ = 3621196800.

The previous prime is 11357053187. The next prime is 11357053291. The reversal of 11357053272 is 27235075311.

It is a happy number.

11357053272 is a `hidden beast` number, since 1 + 1 + 3 + 57 + 0 + 532 + 72 = 666.

11357053272 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 a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 30447678 + ... + 30448050.

It is an arithmetic number, because the mean of its divisors is an integer number (167374350).

Almost surely, 2^11357053272 is an apocalyptic number.

11357053272 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 11357053272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067937600).

11357053272 is an abundant number, since it is smaller than the sum of its proper divisors (20778821928).

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

11357053272 is a wasteful number, since it uses less digits than its factorization.

11357053272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 11357053272 in words is "eleven billion, three hundred fifty-seven million, fifty-three thousand, two hundred seventy-two".