11395728864 has 384 divisors, whose sum is σ = 38948273280. Its totient is φ = 3208937472.

The previous prime is 11395728797. The next prime is 11395728913. The reversal of 11395728864 is 46882759311.

11395728864 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 572 + 8 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11395728864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7064122 + ... + 7065734.

It is an arithmetic number, because the mean of its divisors is an integer number (101427795).

Almost surely, 2^11395728864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11395728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474136640).

11395728864 is an abundant number, since it is smaller than the sum of its proper divisors (27552544416).

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

11395728864 is a wasteful number, since it uses less digits than its factorization.

11395728864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1685 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 11395728864 in words is "eleven billion, three hundred ninety-five million, seven hundred twenty-eight thousand, eight hundred sixty-four".