27285985013760 has 1248 divisors, whose sum is σ = 108529163698176. Its totient is φ = 6279856128000.

The previous prime is 27285985013759. The next prime is 27285985013783. The reversal of 27285985013760 is 6731058958272.

27285985013760 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 5 + 98 + 501 + 37 + 6 + 0 = 666.

It is a super-2 number, since 2×27285985013760² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3331211265 + ... + 3331219455.

It is an arithmetic number, because the mean of its divisors is an integer number (86962470912).

Almost surely, 2^{27285985013760} is an apocalyptic number.

27285985013760 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 27285985013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264581849088).

27285985013760 is an abundant number, since it is smaller than the sum of its proper divisors (81243178684416).

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

27285985013760 is a wasteful number, since it uses less digits than its factorization.

27285985013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 27285985013760 in words is "twenty-seven trillion, two hundred eighty-five billion, nine hundred eighty-five million, thirteen thousand, seven hundred sixty".