27725018763264 has 208 divisors, whose sum is σ = 78009430073280. Its totient is φ = 8733406003200.

The previous prime is 27725018763259. The next prime is 27725018763293. The reversal of 27725018763264 is 46236781052772.

It is a junction number, because it is equal to n+sod(n) for n = 27725018763198 and 27725018763207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93474204 + ... + 93770340.

Almost surely, 2^{27725018763264} is an apocalyptic number.

27725018763264 is a gapful number since it is divisible by the number (24) 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 27725018763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39004715036640).

27725018763264 is an abundant number, since it is smaller than the sum of its proper divisors (50284411310016).

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

27725018763264 is a wasteful number, since it uses less digits than its factorization.

27725018763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296584 (or 296562 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 60.

The spelling of 27725018763264 in words is "twenty-seven trillion, seven hundred twenty-five billion, eighteen million, seven hundred sixty-three thousand, two hundred sixty-four".