27136058476800 has 864 divisors, whose sum is σ = 112909720815360. Its totient is φ = 5585751244800.

The previous prime is 27136058476757. The next prime is 27136058476823. The reversal of 27136058476800 is 867485063172.

It is a super-2 number, since 2×27136058476800² (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, 71445796 + ... + 71824604.

It is an arithmetic number, because the mean of its divisors is an integer number (130682547240).

Almost surely, 2^{27136058476800} is an apocalyptic number.

27136058476800 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 27136058476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56454860407680).

27136058476800 is an abundant number, since it is smaller than the sum of its proper divisors (85773662338560).

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

27136058476800 is a wasteful number, since it uses less digits than its factorization.

27136058476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378899 (or 378880 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 27136058476800 in words is "twenty-seven trillion, one hundred thirty-six billion, fifty-eight million, four hundred seventy-six thousand, eight hundred".