27140906520 has 960 divisors, whose sum is σ = 115618345920. Its totient is φ = 5589762048.

The previous prime is 27140906501. The next prime is 27140906531. The reversal of 27140906520 is 2560904172.

27140906520 is a `hidden beast` number, since 2 + 7 + 1 + 40 + 90 + 6 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 279803112 + ... + 279803208.

It is an arithmetic number, because the mean of its divisors is an integer number (120435777).

Almost surely, 2^27140906520 is an apocalyptic number.

27140906520 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 27140906520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57809172960).

27140906520 is an abundant number, since it is smaller than the sum of its proper divisors (88477439400).

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

27140906520 is a wasteful number, since it uses less digits than its factorization.

27140906520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 27140906520 in words is "twenty-seven billion, one hundred forty million, nine hundred six thousand, five hundred twenty".