261704656080 has 400 divisors, whose sum is σ = 1072302511104. Its totient is φ = 57888276480.

The previous prime is 261704656067. The next prime is 261704656091. The reversal of 261704656080 is 80656407162.

261704656080 is a `hidden beast` number, since 2 + 6 + 1 + 7 + 0 + 4 + 6 + 560 + 80 = 666.

261704656080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1313104 + ... + 1499216.

Almost surely, 2^261704656080 is an apocalyptic number.

261704656080 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 261704656080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536151255552).

261704656080 is an abundant number, since it is smaller than the sum of its proper divisors (810597855024).

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

261704656080 is a wasteful number, since it uses less digits than its factorization.

261704656080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186176 (or 186161 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 261704656080 in words is "two hundred sixty-one billion, seven hundred four million, six hundred fifty-six thousand, eighty".