261270696960 has 2640 divisors, whose sum is σ = 1252337175936. Its totient is φ = 51502252032.

The previous prime is 261270696949. The next prime is 261270696961. The reversal of 261270696960 is 69696072162.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 261270696897 and 261270696906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261270696961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6076062699 + ... + 6076062741.

Almost surely, 2^261270696960 is an apocalyptic number.

261270696960 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 261270696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626168587968).

261270696960 is an abundant number, since it is smaller than the sum of its proper divisors (991066478976).

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

261270696960 is a wasteful number, since it uses less digits than its factorization.

261270696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 261270696960 in words is "two hundred sixty-one billion, two hundred seventy million, six hundred ninety-six thousand, nine hundred sixty".