18868256225280 has 4608 divisors, whose sum is σ = 91489653964800. Its totient is φ = 3611846246400.

The previous prime is 18868256225213. The next prime is 18868256225303. The reversal of 18868256225280 is 8252265286881.

18868256225280 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 82 + 5 + 6 + 22 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×18868256225280² (a number of 27 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 258469263324 + ... + 258469263396.

It is an arithmetic number, because the mean of its divisors is an integer number (19854525600).

Almost surely, 2^{18868256225280} is an apocalyptic number.

18868256225280 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 18868256225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45744826982400).

18868256225280 is an abundant number, since it is smaller than the sum of its proper divisors (72621397739520).

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

18868256225280 is a wasteful number, since it uses less digits than its factorization.

18868256225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 18868256225280 in words is "eighteen trillion, eight hundred sixty-eight billion, two hundred fifty-six million, two hundred twenty-five thousand, two hundred eighty".