27413754424560 has 960 divisors, whose sum is σ = 119482279787520. Its totient is φ = 5481589800960.

The previous prime is 27413754424513. The next prime is 27413754424583. The reversal of 27413754424560 is 6542445731472.

27413754424560 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 3 + 7 + 54 + 4 + 24 + 560 = 666.

It is a super-3 number, since 3×27413754424560³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27413754424497 and 27413754424506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86120895 + ... + 86438625.

It is an arithmetic number, because the mean of its divisors is an integer number (124460708112).

Almost surely, 2^{27413754424560} is an apocalyptic number.

27413754424560 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 27413754424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59741139893760).

27413754424560 is an abundant number, since it is smaller than the sum of its proper divisors (92068525362960).

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

27413754424560 is a wasteful number, since it uses less digits than its factorization.

27413754424560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317846 (or 317837 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 54.

The spelling of 27413754424560 in words is "twenty-seven trillion, four hundred thirteen billion, seven hundred fifty-four million, four hundred twenty-four thousand, five hundred sixty".