18059882918400 has 1440 divisors, whose sum is σ = 72166995838080. Its totient is φ = 4291854336000.

The previous prime is 18059882918369. The next prime is 18059882918411. The reversal of 18059882918400 is 481928895081.

18059882918400 is a `hidden beast` number, since 1 + 8 + 0 + 598 + 8 + 29 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×18059882918400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3070883460 + ... + 3070889340.

It is an arithmetic number, because the mean of its divisors is an integer number (50115969332).

Almost surely, 2^{18059882918400} is an apocalyptic number.

18059882918400 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 18059882918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36083497919040).

18059882918400 is an abundant number, since it is smaller than the sum of its proper divisors (54107112919680).

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

18059882918400 is a wasteful number, since it uses less digits than its factorization.

18059882918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 18059882918400 in words is "eighteen trillion, fifty-nine billion, eight hundred eighty-two million, nine hundred eighteen thousand, four hundred".