27378087372 has 96 divisors (see below), whose sum is σ = 72592665600. Its totient is φ = 8921016000.

The previous prime is 27378087371. The next prime is 27378087383.

27378087372 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27378087371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845847 + ... + 877617.

It is an arithmetic number, because the mean of its divisors is an integer number (756173600).

Almost surely, 2^27378087372 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 27378087372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36296332800).

27378087372 is an abundant number, since it is smaller than the sum of its proper divisors (45214578228).

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

27378087372 is a wasteful number, since it uses less digits than its factorization.

27378087372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31964 (or 31956 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 27378087372 in words is "twenty-seven billion, three hundred seventy-eight million, eighty-seven thousand, three hundred seventy-two".