11786542976 has 128 divisors (see below), whose sum is σ = 25905633600. Its totient is φ = 5308416000.

The previous prime is 11786542961. The next prime is 11786543009. The reversal of 11786542976 is 67924568711.

It is a happy number.

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

Its product of digits (5080320) is a multiple of the sum of its prime factors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15326720 + ... + 15327488.

Almost surely, 2^11786542976 is an apocalyptic number.

11786542976 is a gapful number since it is divisible by the number (16) 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 11786542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12952816800).

11786542976 is an abundant number, since it is smaller than the sum of its proper divisors (14119090624).

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

11786542976 is a wasteful number, since it uses less digits than its factorization.

11786542976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 56.

The spelling of 11786542976 in words is "eleven billion, seven hundred eighty-six million, five hundred forty-two thousand, nine hundred seventy-six".