27872197217280 has 1408 divisors, whose sum is σ = 109614456483840. Its totient is φ = 6672997416960.

The previous prime is 27872197217279. The next prime is 27872197217341. The reversal of 27872197217280 is 8271279127872.

27872197217280 is a `hidden beast` number, since 2 + 78 + 7 + 219 + 72 + 1 + 7 + 280 = 666.

It is a super-3 number, since 3×27872197217280³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22641914265 + ... + 22641915495.

It is an arithmetic number, because the mean of its divisors is an integer number (77851176480).

Almost surely, 2^{27872197217280} is an apocalyptic number.

27872197217280 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 27872197217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54807228241920).

27872197217280 is an abundant number, since it is smaller than the sum of its proper divisors (81742259266560).

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

27872197217280 is a wasteful number, since it uses less digits than its factorization.

27872197217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 63.

The spelling of 27872197217280 in words is "twenty-seven trillion, eight hundred seventy-two billion, one hundred ninety-seven million, two hundred seventeen thousand, two hundred eighty".