11806674880 has 896 divisors, whose sum is σ = 41292840960. Its totient is φ = 3096576000.

The previous prime is 11806674823. The next prime is 11806674923. The reversal of 11806674880 is 8847660811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287967660 + ... + 287967700.

It is an arithmetic number, because the mean of its divisors is an integer number (46085760).

Almost surely, 2^11806674880 is an apocalyptic number.

11806674880 is a gapful number since it is divisible by the number (10) 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 11806674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646420480).

11806674880 is an abundant number, since it is smaller than the sum of its proper divisors (29486166080).

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

11806674880 is a wasteful number, since it uses less digits than its factorization.

11806674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

It can be divided in two parts, 11806 and 674880, that added together give a palindrome (686686).

The spelling of 11806674880 in words is "eleven billion, eight hundred six million, six hundred seventy-four thousand, eight hundred eighty".