260789535912960 has 1056 divisors, whose sum is σ = 952613901832320. Its totient is φ = 68400596385792.

The previous prime is 260789535912947. The next prime is 260789535913031. The reversal of 260789535912960 is 69219535987062.

It is a happy number.

260789535912960 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 8 + 9 + 5 + 3 + 591 + 29 + 6 + 0 = 666.

It is a super-2 number, since 2×260789535912960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21370930219 + ... + 21370942421.

Almost surely, 2^{260789535912960} is an apocalyptic number.

260789535912960 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 260789535912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476306950916160).

260789535912960 is an abundant number, since it is smaller than the sum of its proper divisors (691824365919360).

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

260789535912960 is a wasteful number, since it uses less digits than its factorization.

260789535912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 260789535912960 in words is "two hundred sixty trillion, seven hundred eighty-nine billion, five hundred thirty-five million, nine hundred twelve thousand, nine hundred sixty".