27845197369920 has 2016 divisors, whose sum is σ = 119095194067200. Its totient is φ = 5967628369920.

The previous prime is 27845197369859. The next prime is 27845197369933. The reversal of 27845197369920 is 2996379154872.

27845197369920 is a `hidden beast` number, since 2 + 7 + 8 + 451 + 97 + 3 + 69 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40296956775 + ... + 40296957465.

It is a 1-persistent number, because it is pandigital, but 2⋅27845197369920 = 55690394739840 is not.

Almost surely, 2^{27845197369920} is an apocalyptic number.

27845197369920 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 27845197369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59547597033600).

27845197369920 is an abundant number, since it is smaller than the sum of its proper divisors (91249996697280).

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

27845197369920 is a wasteful number, since it uses less digits than its factorization.

27845197369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 27845197369920 in words is "twenty-seven trillion, eight hundred forty-five billion, one hundred ninety-seven million, three hundred sixty-nine thousand, nine hundred twenty".