27168204016800 has 3456 divisors, whose sum is σ = 132037749043200. Its totient is φ = 5320111104000.

The previous prime is 27168204016787. The next prime is 27168204016813. The reversal of 27168204016800 is 861040286172.

27168204016800 is a `hidden beast` number, since 2 + 7 + 168 + 2 + 0 + 401 + 6 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27168204016787) and next prime (27168204016813).

It is a super-2 number, since 2×27168204016800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19012038486 + ... + 19012039914.

It is an arithmetic number, because the mean of its divisors is an integer number (38205367200).

Almost surely, 2^{27168204016800} is an apocalyptic number.

27168204016800 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 27168204016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66018874521600).

27168204016800 is an abundant number, since it is smaller than the sum of its proper divisors (104869545026400).

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

27168204016800 is a wasteful number, since it uses less digits than its factorization.

27168204016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27168204016800 in words is "twenty-seven trillion, one hundred sixty-eight billion, two hundred four million, sixteen thousand, eight hundred".