27887292204912 has 320 divisors, whose sum is σ = 93811996917760. Its totient is φ = 7765674529536.

The previous prime is 27887292204881. The next prime is 27887292204949. The reversal of 27887292204912 is 21940229278872.

27887292204912 is a `hidden beast` number, since 2 + 78 + 8 + 72 + 9 + 2 + 2 + 0 + 491 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 27887292204912.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59973213 + ... + 60436419.

It is an arithmetic number, because the mean of its divisors is an integer number (293162490368).

Almost surely, 2^{27887292204912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27887292204912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46905998458880).

27887292204912 is an abundant number, since it is smaller than the sum of its proper divisors (65924704712848).

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

27887292204912 is a wasteful number, since it uses less digits than its factorization.

27887292204912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463737 (or 463725 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 27887292204912 in words is "twenty-seven trillion, eight hundred eighty-seven billion, two hundred ninety-two million, two hundred four thousand, nine hundred twelve".