27982549440 has 896 divisors, whose sum is σ = 113414860800. Its totient is φ = 6449725440.

The previous prime is 27982549417. The next prime is 27982549451. The reversal of 27982549440 is 4494528972.

It is a happy number.

27982549440 is a `hidden beast` number, since 2 + 7 + 98 + 2 + 549 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103256505 + ... + 103256775.

Almost surely, 2^27982549440 is an apocalyptic number.

27982549440 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 27982549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56707430400).

27982549440 is an abundant number, since it is smaller than the sum of its proper divisors (85432311360).

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

27982549440 is a wasteful number, since it uses less digits than its factorization.

27982549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27982549440 in words is "twenty-seven billion, nine hundred eighty-two million, five hundred forty-nine thousand, four hundred forty".