11396786688 has 240 divisors, whose sum is σ = 37879807680. Its totient is φ = 3231203328.

The previous prime is 11396786671. The next prime is 11396786707. The reversal of 11396786688 is 88668769311.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4417783 + ... + 4420361.

It is an arithmetic number, because the mean of its divisors is an integer number (157832532).

Almost surely, 2^11396786688 is an apocalyptic number.

11396786688 is a gapful number since it is divisible by the number (18) 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 11396786688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18939903840).

11396786688 is an abundant number, since it is smaller than the sum of its proper divisors (26483020992).

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

11396786688 is a wasteful number, since it uses less digits than its factorization.

11396786688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2728 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 11396786688 in words is "eleven billion, three hundred ninety-six million, seven hundred eighty-six thousand, six hundred eighty-eight".