27135804960 has 288 divisors, whose sum is σ = 102928408128. Its totient is φ = 6454056960.

The previous prime is 27135804937. The next prime is 27135804967. The reversal of 27135804960 is 6940853172.

27135804960 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 580 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27135804967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823359 + ... + 855681.

It is an arithmetic number, because the mean of its divisors is an integer number (357390306).

It is a 1-persistent number, because it is pandigital, but 2⋅27135804960 = 54271609920 is not.

Almost surely, 2^27135804960 is an apocalyptic number.

27135804960 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 27135804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51464204064).

27135804960 is an abundant number, since it is smaller than the sum of its proper divisors (75792603168).

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

27135804960 is a wasteful number, since it uses less digits than its factorization.

27135804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32408 (or 32397 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27135804960 in words is "twenty-seven billion, one hundred thirty-five million, eight hundred four thousand, nine hundred sixty".