11826078264 has 432 divisors, whose sum is σ = 44124149160. Its totient is φ = 2834092800.

The previous prime is 11826078263. The next prime is 11826078323. The reversal of 11826078264 is 46287062811.

11826078264 is a `hidden beast` number, since 1 + 18 + 2 + 607 + 8 + 26 + 4 = 666.

It is a super-2 number, since 2×11826078264² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11826078263) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5548479 + ... + 5550609.

Almost surely, 2^11826078264 is an apocalyptic number.

11826078264 is a gapful number since it is divisible by the number (14) 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 11826078264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22062074580).

11826078264 is an abundant number, since it is smaller than the sum of its proper divisors (32298070896).

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

11826078264 is a wasteful number, since it uses less digits than its factorization.

11826078264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11826078264 in words is "eleven billion, eight hundred twenty-six million, seventy-eight thousand, two hundred sixty-four".