18279226460880 has 3840 divisors, whose sum is σ = 86743888035840. Its totient is φ = 3495616819200.

The previous prime is 18279226460879. The next prime is 18279226460917. The reversal of 18279226460880 is 8806462297281.

18279226460880 is a `hidden beast` number, since 1 + 8 + 2 + 7 + 92 + 2 + 6 + 460 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 105660268474 + ... + 105660268646.

It is an arithmetic number, because the mean of its divisors is an integer number (22589554176).

Almost surely, 2^{18279226460880} is an apocalyptic number.

18279226460880 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 18279226460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43371944017920).

18279226460880 is an abundant number, since it is smaller than the sum of its proper divisors (68464661574960).

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

18279226460880 is a wasteful number, since it uses less digits than its factorization.

18279226460880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 18279226460880 in words is "eighteen trillion, two hundred seventy-nine billion, two hundred twenty-six million, four hundred sixty thousand, eight hundred eighty".