27812720364156 has 1920 divisors, whose sum is σ = 98121857433600. Its totient is φ = 6814538035200.

The previous prime is 27812720364127. The next prime is 27812720364167. The reversal of 27812720364156 is 65146302721872.

27812720364156 is a `hidden beast` number, since 2 + 7 + 8 + 1 + 272 + 0 + 364 + 1 + 5 + 6 = 666.

It is a super-2 number, since 2×27812720364156² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 153661438386 + ... + 153661438566.

It is an arithmetic number, because the mean of its divisors is an integer number (51105134080).

Almost surely, 2^{27812720364156} is an apocalyptic number.

27812720364156 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 27812720364156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49060928716800).

27812720364156 is an abundant number, since it is smaller than the sum of its proper divisors (70309137069444).

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

27812720364156 is a wasteful number, since it uses less digits than its factorization.

27812720364156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 27812720364156 in words is "twenty-seven trillion, eight hundred twelve billion, seven hundred twenty million, three hundred sixty-four thousand, one hundred fifty-six".