18059064307200 has 3600 divisors, whose sum is σ = 83622774161520. Its totient is φ = 3825881579520.

The previous prime is 18059064307159. The next prime is 18059064307231. The reversal of 18059064307200 is 270346095081.

18059064307200 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 9 + 0 + 6 + 430 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×18059064307200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 51158822224 + ... + 51158822576.

It is a 1-persistent number, because it is pandigital, but 2⋅18059064307200 = 36118128614400 is not.

Almost surely, 2^{18059064307200} is an apocalyptic number.

18059064307200 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 18059064307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41811387080760).

18059064307200 is an abundant number, since it is smaller than the sum of its proper divisors (65563709854320).

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

18059064307200 is a wasteful number, since it uses less digits than its factorization.

18059064307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 18059064307200 in words is "eighteen trillion, fifty-nine billion, sixty-four million, three hundred seven thousand, two hundred".