27013380048 has 240 divisors, whose sum is σ = 79628028480. Its totient is φ = 8540313600.

The previous prime is 27013380013. The next prime is 27013380071. The reversal of 27013380048 is 84008331072.

27013380048 is a `hidden beast` number, since 270 + 1 + 3 + 380 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27013379994 and 27013380021.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 40991143 + ... + 40991801.

It is an arithmetic number, because the mean of its divisors is an integer number (331783452).

Almost surely, 2^27013380048 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 27013380048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39814014240).

27013380048 is an abundant number, since it is smaller than the sum of its proper divisors (52614648432).

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

27013380048 is a wasteful number, since it uses less digits than its factorization.

27013380048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 27013380048 in words is "twenty-seven billion, thirteen million, three hundred eighty thousand, forty-eight".