11399051664 has 480 divisors, whose sum is σ = 44231835648. Its totient is φ = 2643840000.

The previous prime is 11399051659. The next prime is 11399051669. The reversal of 11399051664 is 46615099311.

11399051664 is a `hidden beast` number, since 11 + 39 + 90 + 516 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11399051659) and next prime (11399051669).

It is not an unprimeable number, because it can be changed into a prime (11399051669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4467189 + ... + 4469739.

Almost surely, 2^11399051664 is an apocalyptic number.

11399051664 is a gapful number since it is divisible by the number (14) 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 11399051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115917824).

11399051664 is an abundant number, since it is smaller than the sum of its proper divisors (32832783984).

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

11399051664 is a wasteful number, since it uses less digits than its factorization.

11399051664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 11399051664 in words is "eleven billion, three hundred ninety-nine million, fifty-one thousand, six hundred sixty-four".