18826279480800 has 1152 divisors, whose sum is σ = 75777849907200. Its totient is φ = 4472672256000.

The previous prime is 18826279480747. The next prime is 18826279480891. The reversal of 18826279480800 is 808497262881.

18826279480800 is a `hidden beast` number, since 1 + 8 + 8 + 2 + 6 + 2 + 79 + 480 + 80 + 0 = 666.

It is a super-2 number, since 2×18826279480800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2571541140 + ... + 2571548460.

It is an arithmetic number, because the mean of its divisors is an integer number (65779383600).

Almost surely, 2^{18826279480800} is an apocalyptic number.

18826279480800 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 18826279480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37888924953600).

18826279480800 is an abundant number, since it is smaller than the sum of its proper divisors (56951570426400).

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

18826279480800 is a wasteful number, since it uses less digits than its factorization.

18826279480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7577 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 18826279480800 in words is "eighteen trillion, eight hundred twenty-six billion, two hundred seventy-nine million, four hundred eighty thousand, eight hundred".