18128518405200 has 2880 divisors, whose sum is σ = 83473689341952. Its totient is φ = 3680922009600.

The previous prime is 18128518405133. The next prime is 18128518405247. The reversal of 18128518405200 is 250481582181.

18128518405200 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 85 + 1 + 8 + 40 + 520 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 22081020790 + ... + 22081021610.

Almost surely, 2^{18128518405200} is an apocalyptic number.

18128518405200 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 18128518405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41736844670976).

18128518405200 is an abundant number, since it is smaller than the sum of its proper divisors (65345170936752).

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

18128518405200 is a wasteful number, since it uses less digits than its factorization.

18128518405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

Adding to 18128518405200 its reverse (250481582181), we get a palindrome (18378999987381).

The spelling of 18128518405200 in words is "eighteen trillion, one hundred twenty-eight billion, five hundred eighteen million, four hundred five thousand, two hundred".