275348506401360 has 560 divisors, whose sum is σ = 1097512313359104. Its totient is φ = 62905036658688.

The previous prime is 275348506401347. The next prime is 275348506401383. The reversal of 275348506401360 is 63104605843572.

275348506401360 is a `hidden beast` number, since 2 + 7 + 5 + 34 + 8 + 506 + 40 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 275348506401297 and 275348506401306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 813453109 + ... + 813791531.

Almost surely, 2^{275348506401360} is an apocalyptic number.

275348506401360 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 275348506401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548756156679552).

275348506401360 is an abundant number, since it is smaller than the sum of its proper divisors (822163806957744).

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

275348506401360 is a wasteful number, since it uses less digits than its factorization.

275348506401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340454 (or 340433 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 275348506401360 in words is "two hundred seventy-five trillion, three hundred forty-eight billion, five hundred six million, four hundred one thousand, three hundred sixty".