11873586816 has 384 divisors, whose sum is σ = 42343741440. Its totient is φ = 3109847040.

The previous prime is 11873586749. The next prime is 11873586827. The reversal of 11873586816 is 61868537811.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20022616 + ... + 20023208.

It is an arithmetic number, because the mean of its divisors is an integer number (110270160).

Almost surely, 2^11873586816 is an apocalyptic number.

11873586816 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 11873586816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171870720).

11873586816 is an abundant number, since it is smaller than the sum of its proper divisors (30470154624).

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

11873586816 is a wasteful number, since it uses less digits than its factorization.

11873586816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11873586816 in words is "eleven billion, eight hundred seventy-three million, five hundred eighty-six thousand, eight hundred sixteen".