275538961656 has 192 divisors, whose sum is σ = 887721569280. Its totient is φ = 78433868160.

The previous prime is 275538961651. The next prime is 275538961657. The reversal of 275538961656 is 656169835572.

It is a happy number.

275538961656 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 3 + 8 + 9 + 616 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 275538961593 and 275538961602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275538961651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3650410 + ... + 3725126.

It is an arithmetic number, because the mean of its divisors is an integer number (4623549840).

Almost surely, 2^275538961656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275538961656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443860784640).

275538961656 is an abundant number, since it is smaller than the sum of its proper divisors (612182607624).

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

275538961656 is a wasteful number, since it uses less digits than its factorization.

275538961656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75016 (or 75000 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 275538961656 in words is "two hundred seventy-five billion, five hundred thirty-eight million, nine hundred sixty-one thousand, six hundred fifty-six".