261225072151760 has 80 divisors (see below), whose sum is σ = 614343108899520. Its totient is φ = 103293072245760.

The previous prime is 261225072151723. The next prime is 261225072151781. The reversal of 261225072151760 is 67151270522162.

It is a happy number.

261225072151760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47819906 + ... + 53001825.

It is an arithmetic number, because the mean of its divisors is an integer number (7679288861244).

Almost surely, 2^{261225072151760} is an apocalyptic number.

261225072151760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261225072151760 is an abundant number, since it is smaller than the sum of its proper divisors (353118036747760).

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

261225072151760 is a wasteful number, since it uses less digits than its factorization.

261225072151760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100822116 (or 100822110 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 47.

The spelling of 261225072151760 in words is "two hundred sixty-one trillion, two hundred twenty-five billion, seventy-two million, one hundred fifty-one thousand, seven hundred sixty".