27082397122560 has 2720 divisors, whose sum is σ = 117020943768960. Its totient is φ = 5944066965504.

The previous prime is 27082397122489. The next prime is 27082397122589. The reversal of 27082397122560 is 6522179328072.

27082397122560 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 2 + 3 + 9 + 71 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2720).

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

It is a junction number, because it is equal to n+sod(n) for n = 27082397122497 and 27082397122506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1425389322231 + ... + 1425389322249.

Almost surely, 2^{27082397122560} is an apocalyptic number.

27082397122560 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 27082397122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58510471884480).

27082397122560 is an abundant number, since it is smaller than the sum of its proper divisors (89938546646400).

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

27082397122560 is an frugal number, since it uses more digits than its factorization.

27082397122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 27082397122560 in words is "twenty-seven trillion, eighty-two billion, three hundred ninety-seven million, one hundred twenty-two thousand, five hundred sixty".