27206959104 has 600 divisors, whose sum is σ = 93252260640. Its totient is φ = 7835222016.

The previous prime is 27206959067. The next prime is 27206959121. The reversal of 27206959104 is 40195960272.

It is a self number, because there is not a number n which added to its sum of digits gives 27206959104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327794647 + ... + 327794729.

Almost surely, 2^27206959104 is an apocalyptic number.

27206959104 is a gapful number since it is divisible by the number (24) 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 27206959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46626130320).

27206959104 is an abundant number, since it is smaller than the sum of its proper divisors (66045301536).

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

27206959104 is an equidigital number, since it uses as much as digits as its factorization.

27206959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

It can be divided in two parts, 27206 and 959104, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 27206959104 in words is "twenty-seven billion, two hundred six million, nine hundred fifty-nine thousand, one hundred four".