20181338073600 has 960 divisors, whose sum is σ = 75236542267392. Its totient is φ = 4724416512000.

The previous prime is 20181338073527. The next prime is 20181338073619. The reversal of 20181338073600 is 637083318102.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7293579417 + ... + 7293582183.

Almost surely, 2^{20181338073600} is an apocalyptic number.

20181338073600 is a gapful number since it is divisible by the number (20) 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 20181338073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37618271133696).

20181338073600 is an abundant number, since it is smaller than the sum of its proper divisors (55055204193792).

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

20181338073600 is a wasteful number, since it uses less digits than its factorization.

20181338073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20181338073600 in words is "twenty trillion, one hundred eighty-one billion, three hundred thirty-eight million, seventy-three thousand, six hundred".