20365074273600 has 2016 divisors, whose sum is σ = 90964277913600. Its totient is φ = 4217105203200.

The previous prime is 20365074273587. The next prime is 20365074273611. The reversal of 20365074273600 is 637247056302.

20365074273600 is a `hidden beast` number, since 2 + 0 + 36 + 5 + 0 + 7 + 4 + 2 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 4180879165 + ... + 4180884035.

It is an arithmetic number, because the mean of its divisors is an integer number (45121169600).

Almost surely, 2^{20365074273600} is an apocalyptic number.

20365074273600 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 20365074273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45482138956800).

20365074273600 is an abundant number, since it is smaller than the sum of its proper divisors (70599203640000).

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

20365074273600 is a wasteful number, since it uses less digits than its factorization.

20365074273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 20365074273600 in words is "twenty trillion, three hundred sixty-five billion, seventy-four million, two hundred seventy-three thousand, six hundred".