11607257568 has 48 divisors (see below), whose sum is σ = 31292548560. Its totient is φ = 3764514816.

The previous prime is 11607257551. The next prime is 11607257611. The reversal of 11607257568 is 86575270611.

11607257568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 1630353 + ... + 1637456.

It is an arithmetic number, because the mean of its divisors is an integer number (651928095).

Almost surely, 2^11607257568 is an apocalyptic number.

It is an amenable number.

11607257568 is an abundant number, since it is smaller than the sum of its proper divisors (19685290992).

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

11607257568 is a wasteful number, since it uses less digits than its factorization.

11607257568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267859 (or 3267851 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 11607257568 in words is "eleven billion, six hundred seven million, two hundred fifty-seven thousand, five hundred sixty-eight".