27415280348148 has 192 divisors, whose sum is σ = 80136657635328. Its totient is φ = 7086670356480.

The previous prime is 27415280348083. The next prime is 27415280348149. The reversal of 27415280348148 is 84184308251472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27415280348149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557275840 + ... + 557325032.

It is an arithmetic number, because the mean of its divisors is an integer number (417378425184).

Almost surely, 2^{27415280348148} is an apocalyptic number.

27415280348148 is a gapful number since it is divisible by the number (28) 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 27415280348148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40068328817664).

27415280348148 is an abundant number, since it is smaller than the sum of its proper divisors (52721377287180).

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

27415280348148 is a wasteful number, since it uses less digits than its factorization.

27415280348148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52102 (or 52100 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 27415280348148 in words is "twenty-seven trillion, four hundred fifteen billion, two hundred eighty million, three hundred forty-eight thousand, one hundred forty-eight".