27285509664 has 432 divisors, whose sum is σ = 98557149600. Its totient is φ = 7383591936.

The previous prime is 27285509653. The next prime is 27285509687. The reversal of 27285509664 is 46690558272.

27285509664 is a `hidden beast` number, since 2 + 7 + 28 + 550 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 27285509664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7237572 + ... + 7241340.

It is an arithmetic number, because the mean of its divisors is an integer number (228141550).

Almost surely, 2^27285509664 is an apocalyptic number.

27285509664 is a gapful number since it is divisible by the number (24) 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 27285509664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49278574800).

27285509664 is an abundant number, since it is smaller than the sum of its proper divisors (71271639936).

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

27285509664 is a wasteful number, since it uses less digits than its factorization.

27285509664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 27285509664 in words is "twenty-seven billion, two hundred eighty-five million, five hundred nine thousand, six hundred sixty-four".