18421126560 has 288 divisors, whose sum is σ = 66820178880. Its totient is φ = 4605272064.

The previous prime is 18421126553. The next prime is 18421126589. The reversal of 18421126560 is 6562112481.

It is a happy number.

18421126560 is a `hidden beast` number, since 1 + 84 + 2 + 1 + 12 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6926511 + ... + 6929169.

It is an arithmetic number, because the mean of its divisors is an integer number (232014510).

Almost surely, 2^18421126560 is an apocalyptic number.

18421126560 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 18421126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33410089440).

18421126560 is an abundant number, since it is smaller than the sum of its proper divisors (48399052320).

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

18421126560 is a wasteful number, since it uses less digits than its factorization.

18421126560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18421126560 in words is "eighteen billion, four hundred twenty-one million, one hundred twenty-six thousand, five hundred sixty".