27195695319040 has 192 divisors, whose sum is σ = 66758602135680. Its totient is φ = 10630118768640.

The previous prime is 27195695319019. The next prime is 27195695319043. The reversal of 27195695319040 is 4091359659172.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27195695319040.

It is not an unprimeable number, because it can be changed into a prime (27195695319043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81990007 + ... + 82321033.

It is an arithmetic number, because the mean of its divisors is an integer number (347701052790).

Almost surely, 2^{27195695319040} is an apocalyptic number.

27195695319040 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 27195695319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33379301067840).

27195695319040 is an abundant number, since it is smaller than the sum of its proper divisors (39562906816640).

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

27195695319040 is a wasteful number, since it uses less digits than its factorization.

27195695319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331238 (or 331218 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 61.

The spelling of 27195695319040 in words is "twenty-seven trillion, one hundred ninety-five billion, six hundred ninety-five million, three hundred nineteen thousand, forty".