27381503344900 has 72 divisors (see below), whose sum is σ = 60093586542080. Its totient is φ = 10828394288640.

The previous prime is 27381503344889. The next prime is 27381503344901. The reversal of 27381503344900 is 944330518372.

It is not an unprimeable number, because it can be changed into a prime (27381503344901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4062316 + ... + 8441884.

Almost surely, 2^{27381503344900} is an apocalyptic number.

27381503344900 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 27381503344900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30046793271040).

27381503344900 is an abundant number, since it is smaller than the sum of its proper divisors (32712083197180).

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

27381503344900 is a wasteful number, since it uses less digits than its factorization.

27381503344900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380293 (or 4380286 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 27381503344900 in words is "twenty-seven trillion, three hundred eighty-one billion, five hundred three million, three hundred forty-four thousand, nine hundred".