27225056768 has 160 divisors (see below), whose sum is σ = 67141536000. Its totient is φ = 10739589120.

The previous prime is 27225056723. The next prime is 27225056893. The reversal of 27225056768 is 86765052272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23248823 + ... + 23249993.

It is an arithmetic number, because the mean of its divisors is an integer number (419634600).

Almost surely, 2^27225056768 is an apocalyptic number.

27225056768 is a gapful number since it is divisible by the number (28) 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 27225056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33570768000).

27225056768 is an abundant number, since it is smaller than the sum of its proper divisors (39916479232).

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

27225056768 is a wasteful number, since it uses less digits than its factorization.

27225056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 27225056768 in words is "twenty-seven billion, two hundred twenty-five million, fifty-six thousand, seven hundred sixty-eight".