261556810560 has 224 divisors, whose sum is σ = 923746387200. Its totient is φ = 69670471680.

The previous prime is 261556810549. The next prime is 261556810561. The reversal of 261556810560 is 65018655162.

261556810560 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 5 + 6 + 81 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261556810561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7923690 + ... + 7956630.

It is an arithmetic number, because the mean of its divisors is an integer number (4123867800).

Almost surely, 2^261556810560 is an apocalyptic number.

261556810560 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 261556810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461873193600).

261556810560 is an abundant number, since it is smaller than the sum of its proper divisors (662189576640).

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

261556810560 is a wasteful number, since it uses less digits than its factorization.

261556810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33886 (or 33870 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 261556810560 in words is "two hundred sixty-one billion, five hundred fifty-six million, eight hundred ten thousand, five hundred sixty".