27424922942472 has 256 divisors, whose sum is σ = 77173751808000. Its totient is φ = 8050379040000.

The previous prime is 27424922942441. The next prime is 27424922942531.

27424922942472 is nontrivially palindromic in base 10.

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, 471586597 + ... + 471644747.

It is an arithmetic number, because the mean of its divisors is an integer number (301459968000).

Almost surely, 2^{27424922942472} is an apocalyptic number.

27424922942472 is a gapful number since it is divisible by the number (22) 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 27424922942472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38586875904000).

27424922942472 is an abundant number, since it is smaller than the sum of its proper divisors (49748828865528).

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

27424922942472 is a wasteful number, since it uses less digits than its factorization.

27424922942472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58608 (or 58604 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 27424922942472 in words is "twenty-seven trillion, four hundred twenty-four billion, nine hundred twenty-two million, nine hundred forty-two thousand, four hundred seventy-two".