27472349341920 has 384 divisors, whose sum is σ = 101598847257600. Its totient is φ = 6108152758272.

The previous prime is 27472349341909. The next prime is 27472349341933. The reversal of 27472349341920 is 2914394327472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539399016 + ... + 539449944.

It is an arithmetic number, because the mean of its divisors is an integer number (264580331400).

Almost surely, 2^{27472349341920} is an apocalyptic number.

27472349341920 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 27472349341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50799423628800).

27472349341920 is an abundant number, since it is smaller than the sum of its proper divisors (74126497915680).

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

27472349341920 is a wasteful number, since it uses less digits than its factorization.

27472349341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55330 (or 55322 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 27472349341920 in words is "twenty-seven trillion, four hundred seventy-two billion, three hundred forty-nine million, three hundred forty-one thousand, nine hundred twenty".