10427327504 has 80 divisors (see below), whose sum is σ = 22558556160. Its totient is φ = 4628542080.

The previous prime is 10427327459. The next prime is 10427327591. The reversal of 10427327504 is 40572372401.

It is a super-3 number, since 3×10427327504³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4656017 + ... + 4658255.

It is an arithmetic number, because the mean of its divisors is an integer number (281981952).

Almost surely, 2^10427327504 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 10427327504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279278080).

10427327504 is an abundant number, since it is smaller than the sum of its proper divisors (12131228656).

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

10427327504 is a wasteful number, since it uses less digits than its factorization.

10427327504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

Adding to 10427327504 its reverse (40572372401), we get a palindrome (50999699905).

The spelling of 10427327504 in words is "ten billion, four hundred twenty-seven million, three hundred twenty-seven thousand, five hundred four".