11257591086 has 160 divisors (see below), whose sum is σ = 31667074560. Its totient is φ = 2914553664.

The previous prime is 11257591057. The next prime is 11257591099. The reversal of 11257591086 is 68019575211.

11257591086 is a `hidden beast` number, since 1 + 1 + 2 + 57 + 591 + 0 + 8 + 6 = 666.

11257591086 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484200 + ... + 506916.

It is an arithmetic number, because the mean of its divisors is an integer number (197919216).

Almost surely, 2^11257591086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11257591086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833537280).

11257591086 is an abundant number, since it is smaller than the sum of its proper divisors (20409483474).

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

11257591086 is a wasteful number, since it uses less digits than its factorization.

11257591086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22780 (or 22771 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 11257591086 in words is "eleven billion, two hundred fifty-seven million, five hundred ninety-one thousand, eighty-six".