261767702756560 has 480 divisors, whose sum is σ = 858577201542144. Its totient is φ = 72884302848000.

The previous prime is 261767702756543. The next prime is 261767702756561. The reversal of 261767702756560 is 65657207767162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261767702756561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9845500 + ... + 24909220.

Almost surely, 2^{261767702756560} is an apocalyptic number.

261767702756560 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 261767702756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429288600771072).

261767702756560 is an abundant number, since it is smaller than the sum of its proper divisors (596809498785584).

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

261767702756560 is a wasteful number, since it uses less digits than its factorization.

261767702756560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063803 (or 15063790 counting only the distinct ones).

The product of its (nonzero) digits is 311169600, while the sum is 67.

The spelling of 261767702756560 in words is "two hundred sixty-one trillion, seven hundred sixty-seven billion, seven hundred two million, seven hundred fifty-six thousand, five hundred sixty".