20273334681600 has 4608 divisors, whose sum is σ = 101376156510720. Its totient is φ = 3737124864000.

The previous prime is 20273334681583. The next prime is 20273334681643. The reversal of 20273334681600 is 618643337202.

20273334681600 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 3 + 3 + 34 + 6 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×20273334681600² (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 287 ways as a sum of consecutive naturals, for example, 302587084767 + ... + 302587084833.

It is an arithmetic number, because the mean of its divisors is an integer number (22000033965).

Almost surely, 2^{20273334681600} is an apocalyptic number.

20273334681600 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 20273334681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50688078255360).

20273334681600 is an abundant number, since it is smaller than the sum of its proper divisors (81102821829120).

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

20273334681600 is a wasteful number, since it uses less digits than its factorization.

20273334681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 20273334681600 in words is "twenty trillion, two hundred seventy-three billion, three hundred thirty-four million, six hundred eighty-one thousand, six hundred".