11255724564 has 96 divisors (see below), whose sum is σ = 32449105920. Its totient is φ = 2964304512.

The previous prime is 11255724481. The next prime is 11255724607. The reversal of 11255724564 is 46542755211.

11255724564 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 (42).

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 31 ways as a sum of consecutive naturals, for example, 36252 + ... + 154355.

It is an arithmetic number, because the mean of its divisors is an integer number (338011520).

Almost surely, 2^11255724564 is an apocalyptic number.

11255724564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11255724564 is an abundant number, since it is smaller than the sum of its proper divisors (21193381356).

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

11255724564 is a wasteful number, since it uses less digits than its factorization.

11255724564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190677 (or 190675 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The spelling of 11255724564 in words is "eleven billion, two hundred fifty-five million, seven hundred twenty-four thousand, five hundred sixty-four".