27975618240 has 224 divisors, whose sum is σ = 95489694720. Its totient is φ = 6916939776.

The previous prime is 27975618233. The next prime is 27975618257. The reversal of 27975618240 is 4281657972.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840964 + ... + 873596.

It is an arithmetic number, because the mean of its divisors is an integer number (426293280).

Almost surely, 2^27975618240 is an apocalyptic number.

27975618240 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 27975618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744847360).

27975618240 is an abundant number, since it is smaller than the sum of its proper divisors (67514076480).

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

27975618240 is a wasteful number, since it uses less digits than its factorization.

27975618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32719 (or 32709 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 27975618240 in words is "twenty-seven billion, nine hundred seventy-five million, six hundred eighteen thousand, two hundred forty".