27480857040 has 800 divisors, whose sum is σ = 121597217280. Its totient is φ = 5594738688.

The previous prime is 27480857023. The next prime is 27480857059. The reversal of 27480857040 is 4075808472.

27480857040 is a `hidden beast` number, since 2 + 74 + 8 + 0 + 8 + 570 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 17099917 + ... + 17101523.

Almost surely, 2^27480857040 is an apocalyptic number.

27480857040 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 27480857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60798608640).

27480857040 is an abundant number, since it is smaller than the sum of its proper divisors (94116360240).

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

27480857040 is a wasteful number, since it uses less digits than its factorization.

27480857040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 27480857040 in words is "twenty-seven billion, four hundred eighty million, eight hundred fifty-seven thousand, forty".