27135249856 has 224 divisors, whose sum is σ = 69902880768. Its totient is φ = 10248437760.

The previous prime is 27135249853. The next prime is 27135249863. The reversal of 27135249856 is 65894253172.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27135249853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3574641 + ... + 3582223.

It is an arithmetic number, because the mean of its divisors is an integer number (312066432).

Almost surely, 2^27135249856 is an apocalyptic number.

27135249856 is a gapful number since it is divisible by the number (26) 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 27135249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34951440384).

27135249856 is an abundant number, since it is smaller than the sum of its proper divisors (42767630912).

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

27135249856 is a wasteful number, since it uses less digits than its factorization.

27135249856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7649 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 52.

The spelling of 27135249856 in words is "twenty-seven billion, one hundred thirty-five million, two hundred forty-nine thousand, eight hundred fifty-six".