275556478408640 has 504 divisors, whose sum is σ = 784347675877584. Its totient is φ = 92097000652800.

The previous prime is 275556478408621. The next prime is 275556478408711. The reversal of 275556478408640 is 46804874655572.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1524587075 + ... + 1524767805.

It is an arithmetic number, because the mean of its divisors is an integer number (1556245388646).

Almost surely, 2^{275556478408640} is an apocalyptic number.

275556478408640 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 275556478408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392173837938792).

275556478408640 is an abundant number, since it is smaller than the sum of its proper divisors (508791197468944).

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

275556478408640 is a wasteful number, since it uses less digits than its factorization.

275556478408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181029 (or 180995 counting only the distinct ones).

The product of its (nonzero) digits is 1806336000, while the sum is 71.

The spelling of 275556478408640 in words is "two hundred seventy-five trillion, five hundred fifty-six billion, four hundred seventy-eight million, four hundred eight thousand, six hundred forty".