27838322565480 has 768 divisors, whose sum is σ = 107898702912000. Its totient is φ = 6092245426176.

The previous prime is 27838322565463. The next prime is 27838322565527. The reversal of 27838322565480 is 8456522383872.

27838322565480 is a `hidden beast` number, since 2 + 7 + 8 + 3 + 8 + 3 + 22 + 565 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11652708126 + ... + 11652710514.

It is an arithmetic number, because the mean of its divisors is an integer number (140493102750).

Almost surely, 2^{27838322565480} is an apocalyptic number.

27838322565480 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 27838322565480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53949351456000).

27838322565480 is an abundant number, since it is smaller than the sum of its proper divisors (80060380346520).

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

27838322565480 is a wasteful number, since it uses less digits than its factorization.

27838322565480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 27838322565480 in words is "twenty-seven trillion, eight hundred thirty-eight billion, three hundred twenty-two million, five hundred sixty-five thousand, four hundred eighty".