11896740864 has 220 divisors, whose sum is σ = 37400737000. Its totient is φ = 3756367872.

The previous prime is 11896740853. The next prime is 11896740929. The reversal of 11896740864 is 46804769811.

11896740864 is a `hidden beast` number, since 118 + 9 + 67 + 408 + 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 11896740864.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1572162 + ... + 1579710.

It is an arithmetic number, because the mean of its divisors is an integer number (170003350).

Almost surely, 2^11896740864 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 11896740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18700368500).

11896740864 is an abundant number, since it is smaller than the sum of its proper divisors (25503996136).

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

11896740864 is an equidigital number, since it uses as much as digits as its factorization.

11896740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11896740864 in words is "eleven billion, eight hundred ninety-six million, seven hundred forty thousand, eight hundred sixty-four".