275407127377542 has 64 divisors (see below), whose sum is σ = 617811319699200. Its totient is φ = 90933263930880.

The previous prime is 275407127377531. The next prime is 275407127377583. The reversal of 275407127377542 is 245773721704572.

275407127377542 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 0 + 7 + 12 + 7 + 3 + 77 + 542 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 275407127377542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44295334 + ... + 50128742.

It is an arithmetic number, because the mean of its divisors is an integer number (9653301870300).

Almost surely, 2^{275407127377542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275407127377542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308905659849600).

275407127377542 is an abundant number, since it is smaller than the sum of its proper divisors (342404192321658).

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

275407127377542 is a wasteful number, since it uses less digits than its factorization.

275407127377542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841698 (or 5841692 counting only the distinct ones).

The product of its (nonzero) digits is 161347200, while the sum is 63.

The spelling of 275407127377542 in words is "two hundred seventy-five trillion, four hundred seven billion, one hundred twenty-seven million, three hundred seventy-seven thousand, five hundred forty-two".