27046350028800 has 1296 divisors, whose sum is σ = 104130812232720. Its totient is φ = 6686056120320.

The previous prime is 27046350028799. The next prime is 27046350028847. The reversal of 27046350028800 is 882005364072.

27046350028800 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 63 + 500 + 2 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36598578831 + ... + 36598579569.

It is an arithmetic number, because the mean of its divisors is an integer number (80347848945).

Almost surely, 2^{27046350028800} is an apocalyptic number.

27046350028800 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 27046350028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52065406116360).

27046350028800 is an abundant number, since it is smaller than the sum of its proper divisors (77084462203920).

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

27046350028800 is an equidigital number, since it uses as much as digits as its factorization.

27046350028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27046350028800 in words is "twenty-seven trillion, forty-six billion, three hundred fifty million, twenty-eight thousand, eight hundred".