27413257960 has 64 divisors (see below), whose sum is σ = 67543217280. Its totient is φ = 9930512640.

The previous prime is 27413257951. The next prime is 27413257987. The reversal of 27413257960 is 6975231472.

It is a self number, because there is not a number n which added to its sum of digits gives 27413257960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2727 + ... + 234166.

It is an arithmetic number, because the mean of its divisors is an integer number (1055362770).

Almost surely, 2^27413257960 is an apocalyptic number.

27413257960 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 27413257960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33771608640).

27413257960 is an abundant number, since it is smaller than the sum of its proper divisors (40129959320).

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

27413257960 is a wasteful number, since it uses less digits than its factorization.

27413257960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237178 (or 237174 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 27413257960 in words is "twenty-seven billion, four hundred thirteen million, two hundred fifty-seven thousand, nine hundred sixty".