27019369104 has 240 divisors, whose sum is σ = 87691262400. Its totient is φ = 7105674240.

The previous prime is 27019369073. The next prime is 27019369129. The reversal of 27019369104 is 40196391072.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12871447 + ... + 12873545.

It is an arithmetic number, because the mean of its divisors is an integer number (365380260).

Almost surely, 2^27019369104 is an apocalyptic number.

27019369104 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 27019369104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43845631200).

27019369104 is an abundant number, since it is smaller than the sum of its proper divisors (60671893296).

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

27019369104 is a wasteful number, since it uses less digits than its factorization.

27019369104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 27019369104 in words is "twenty-seven billion, nineteen million, three hundred sixty-nine thousand, one hundred four".