27285362311680 has 1440 divisors, whose sum is σ = 107994856761792. Its totient is φ = 6356323860480.

The previous prime is 27285362311663. The next prime is 27285362311681. The reversal of 27285362311680 is 8611326358272.

27285362311680 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 5 + 3 + 623 + 1 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (27285362311681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8561455047 + ... + 8561458233.

Almost surely, 2^{27285362311680} is an apocalyptic number.

27285362311680 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 27285362311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53997428380896).

27285362311680 is an abundant number, since it is smaller than the sum of its proper divisors (80709494450112).

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

27285362311680 is a wasteful number, since it uses less digits than its factorization.

27285362311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3328 counting only the distinct ones).

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

The spelling of 27285362311680 in words is "twenty-seven trillion, two hundred eighty-five billion, three hundred sixty-two million, three hundred eleven thousand, six hundred eighty".