11878838608736 has 96 divisors (see below), whose sum is σ = 26230023523872. Its totient is φ = 5247928258560.

The previous prime is 11878838608733. The next prime is 11878838608739. The reversal of 11878838608736 is 63780683887811.

It is an interprime number because it is at equal distance from previous prime (11878838608733) and next prime (11878838608739).

It is a super-2 number, since 2×11878838608736² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (74).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11878838608733) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11716790 + ... + 12690186.

It is an arithmetic number, because the mean of its divisors is an integer number (273229411707).

Almost surely, 2^{11878838608736} is an apocalyptic number.

11878838608736 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 11878838608736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115011761936).

11878838608736 is an abundant number, since it is smaller than the sum of its proper divisors (14351184915136).

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

11878838608736 is a wasteful number, since it uses less digits than its factorization.

11878838608736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974392 (or 974384 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 74.

The spelling of 11878838608736 in words is "eleven trillion, eight hundred seventy-eight billion, eight hundred thirty-eight million, six hundred eight thousand, seven hundred thirty-six".