27812320194456 has 1024 divisors, whose sum is σ = 101775163392000. Its totient is φ = 6843696168960.

The previous prime is 27812320194431. The next prime is 27812320194493. The reversal of 27812320194456 is 65449102321872.

It is a happy number.

27812320194456 is a `hidden beast` number, since 2 + 7 + 81 + 2 + 3 + 20 + 1 + 94 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9734797380 + ... + 9734800236.

It is an arithmetic number, because the mean of its divisors is an integer number (99389808000).

It is a 1-persistent number, because it is pandigital, but 2⋅27812320194456 = 55624640388912 is not.

Almost surely, 2^{27812320194456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27812320194456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50887581696000).

27812320194456 is an abundant number, since it is smaller than the sum of its proper divisors (73962843197544).

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

27812320194456 is a wasteful number, since it uses less digits than its factorization.

27812320194456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27812320194456 in words is "twenty-seven trillion, eight hundred twelve billion, three hundred twenty million, one hundred ninety-four thousand, four hundred fifty-six".