261766447426800 has 480 divisors, whose sum is σ = 943284660917760. Its totient is φ = 68936690995200.

The previous prime is 261766447426741. The next prime is 261766447426811. The reversal of 261766447426800 is 8624744667162.

261766447426800 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 6 + 64 + 474 + 26 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2372715640 + ... + 2372825960.

It is an arithmetic number, because the mean of its divisors is an integer number (1965176376912).

Almost surely, 2^{261766447426800} is an apocalyptic number.

261766447426800 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 261766447426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471642330458880).

261766447426800 is an abundant number, since it is smaller than the sum of its proper divisors (681518213490960).

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

261766447426800 is a wasteful number, since it uses less digits than its factorization.

261766447426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113078 (or 113061 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 261766447426800 in words is "two hundred sixty-one trillion, seven hundred sixty-six billion, four hundred forty-seven million, four hundred twenty-six thousand, eight hundred".