27219827040 has 192 divisors, whose sum is σ = 98077464576. Its totient is φ = 6216210432.

The previous prime is 27219827027. The next prime is 27219827051. The reversal of 27219827040 is 4072891272.

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

It is a junction number, because it is equal to n+sod(n) for n = 27219826983 and 27219827001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4778434 + ... + 4784126.

It is an arithmetic number, because the mean of its divisors is an integer number (510820128).

Almost surely, 2^27219827040 is an apocalyptic number.

27219827040 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 27219827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49038732288).

27219827040 is an abundant number, since it is smaller than the sum of its proper divisors (70857637536).

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

27219827040 is a wasteful number, since it uses less digits than its factorization.

27219827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 27219827040 in words is "twenty-seven billion, two hundred nineteen million, eight hundred twenty-seven thousand, forty".