11876865516 has 192 divisors, whose sum is σ = 33312384000. Its totient is φ = 3645895680.

The previous prime is 11876865509. The next prime is 11876865529. The reversal of 11876865516 is 61556867811.

It is a happy number.

11876865516 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 6 + 86 + 551 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 23333470 + ... + 23333978.

It is an arithmetic number, because the mean of its divisors is an integer number (173502000).

Almost surely, 2^11876865516 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 11876865516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656192000).

11876865516 is an abundant number, since it is smaller than the sum of its proper divisors (21435518484).

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

11876865516 is a wasteful number, since it uses less digits than its factorization.

11876865516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 11876865516 in words is "eleven billion, eight hundred seventy-six million, eight hundred sixty-five thousand, five hundred sixteen".