20674856241600 has 336 divisors, whose sum is σ = 75393373622400. Its totient is φ = 4917518028800.

The previous prime is 20674856241521. The next prime is 20674856241601. The reversal of 20674856241600 is 614265847602.

It is a super-2 number, since 2×20674856241600² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20674856241601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895650 + ... + 6492449.

Almost surely, 2^{20674856241600} is an apocalyptic number.

20674856241600 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 20674856241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37696686811200).

20674856241600 is an abundant number, since it is smaller than the sum of its proper divisors (54718517380800).

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

20674856241600 is a wasteful number, since it uses less digits than its factorization.

20674856241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388188 (or 7388173 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 20674856241600 in words is "twenty trillion, six hundred seventy-four billion, eight hundred fifty-six million, two hundred forty-one thousand, six hundred".