11776404864 has 128 divisors (see below), whose sum is σ = 36202982400. Its totient is φ = 3322036224.

The previous prime is 11776404853. The next prime is 11776404889. The reversal of 11776404864 is 46840467711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 184624 + ... + 240080.

It is an arithmetic number, because the mean of its divisors is an integer number (282835800).

Almost surely, 2^11776404864 is an apocalyptic number.

11776404864 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 11776404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101491200).

11776404864 is an abundant number, since it is smaller than the sum of its proper divisors (24426577536).

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

11776404864 is an equidigital number, since it uses as much as digits as its factorization.

11776404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55560 (or 55548 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 11776404864 in words is "eleven billion, seven hundred seventy-six million, four hundred four thousand, eight hundred sixty-four".