27966938489490 has 256 divisors, whose sum is σ = 90156659281920. Its totient is φ = 5362108001280.

The previous prime is 27966938489473. The next prime is 27966938489491. The reversal of 27966938489490 is 9498483966972.

It is not an unprimeable number, because it can be changed into a prime (27966938489491) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74196321 + ... + 74572299.

It is an arithmetic number, because the mean of its divisors is an integer number (352174450320).

Almost surely, 2^{27966938489490} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27966938489490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45078329640960).

27966938489490 is an abundant number, since it is smaller than the sum of its proper divisors (62189720792430).

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

27966938489490 is a wasteful number, since it uses less digits than its factorization.

27966938489490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378497.

The product of its (nonzero) digits is 10158317568, while the sum is 84.

The spelling of 27966938489490 in words is "twenty-seven trillion, nine hundred sixty-six billion, nine hundred thirty-eight million, four hundred eighty-nine thousand, four hundred ninety".