261096801680 has 320 divisors, whose sum is σ = 727603430400. Its totient is φ = 85878159360.

The previous prime is 261096801631. The next prime is 261096801701. The reversal of 261096801680 is 86108690162.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396201191 + ... + 396201849.

It is an arithmetic number, because the mean of its divisors is an integer number (2273760720).

Almost surely, 2^261096801680 is an apocalyptic number.

261096801680 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 261096801680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363801715200).

261096801680 is an abundant number, since it is smaller than the sum of its proper divisors (466506628720).

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

261096801680 is a wasteful number, since it uses less digits than its factorization.

261096801680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 261096801680 in words is "two hundred sixty-one billion, ninety-six million, eight hundred one thousand, six hundred eighty".