11395270656 has 864 divisors, whose sum is σ = 44277891840. Its totient is φ = 2786918400.

The previous prime is 11395270609. The next prime is 11395270681. The reversal of 11395270656 is 65607259311.

11395270656 is a `hidden beast` number, since 113 + 9 + 527 + 0 + 6 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307980270 + ... + 307980306.

It is an arithmetic number, because the mean of its divisors is an integer number (51247560).

Almost surely, 2^11395270656 is an apocalyptic number.

11395270656 is a gapful number since it is divisible by the number (16) 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 11395270656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138945920).

11395270656 is an abundant number, since it is smaller than the sum of its proper divisors (32882621184).

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

11395270656 is a wasteful number, since it uses less digits than its factorization.

11395270656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 11395270656 in words is "eleven billion, three hundred ninety-five million, two hundred seventy thousand, six hundred fifty-six".