27678078540 has 192 divisors, whose sum is σ = 98825932800. Its totient is φ = 6299741952.

The previous prime is 27678078521. The next prime is 27678078551. The reversal of 27678078540 is 4587087672.

It is a happy number.

27678078540 is a `hidden beast` number, since 27 + 6 + 7 + 8 + 0 + 78 + 540 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888102 + ... + 918738.

It is an arithmetic number, because the mean of its divisors is an integer number (514718400).

Almost surely, 2^27678078540 is an apocalyptic number.

27678078540 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 27678078540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49412966400).

27678078540 is an abundant number, since it is smaller than the sum of its proper divisors (71147854260).

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

27678078540 is a wasteful number, since it uses less digits than its factorization.

27678078540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30901 (or 30893 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 27678078540 in words is "twenty-seven billion, six hundred seventy-eight million, seventy-eight thousand, five hundred forty".