27536256000000 has 2352 divisors, whose sum is σ = 113210200578384. Its totient is φ = 6389760000000.

The previous prime is 27536255999897. The next prime is 27536256000023. The reversal of 27536256000000 is 65263572.

It is a happy number.

27536256000000 is a `hidden beast` number, since 27 + 5 + 3 + 6 + 25 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 519551999974 + ... + 519552000026.

Almost surely, 2^{27536256000000} is an apocalyptic number.

27536256000000 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 27536256000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56605100289192).

27536256000000 is an abundant number, since it is smaller than the sum of its proper divisors (85673944578384).

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

27536256000000 is an frugal number, since it uses more digits than its factorization.

27536256000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 27536256000000 in words is "twenty-seven trillion, five hundred thirty-six billion, two hundred fifty-six million", and thus it is an aban number.