27013930876800 has 1536 divisors, whose sum is σ = 115799016960000. Its totient is φ = 6022580428800.

The previous prime is 27013930876763. The next prime is 27013930876861. The reversal of 27013930876800 is 867803931072.

27013930876800 is a `hidden beast` number, since 270 + 1 + 3 + 9 + 308 + 7 + 68 + 0 + 0 = 666.

It is a super-2 number, since 2×27013930876800² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4674496311 + ... + 4674502089.

It is an arithmetic number, because the mean of its divisors is an integer number (75389985000).

Almost surely, 2^{27013930876800} is an apocalyptic number.

27013930876800 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 27013930876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57899508480000).

27013930876800 is an abundant number, since it is smaller than the sum of its proper divisors (88785086083200).

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

27013930876800 is a wasteful number, since it uses less digits than its factorization.

27013930876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 27013930876800 in words is "twenty-seven trillion, thirteen billion, nine hundred thirty million, eight hundred seventy-six thousand, eight hundred".