27894012240 has 80 divisors (see below), whose sum is σ = 86490000000. Its totient is φ = 7436806656.

The previous prime is 27894012217. The next prime is 27894012241. The reversal of 27894012240 is 4221049872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27894012241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1478386 + ... + 1497134.

It is an arithmetic number, because the mean of its divisors is an integer number (1081125000).

Almost surely, 2^27894012240 is an apocalyptic number.

27894012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27894012240 is an abundant number, since it is smaller than the sum of its proper divisors (58595987760).

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

27894012240 is a wasteful number, since it uses less digits than its factorization.

27894012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24964 (or 24958 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 27894012240 in words is "twenty-seven billion, eight hundred ninety-four million, twelve thousand, two hundred forty".