260709512785920 has 1248 divisors, whose sum is σ = 1024354138639104. Its totient is φ = 63078314803200.

The previous prime is 260709512785903. The next prime is 260709512785961. The reversal of 260709512785920 is 29587215907062.

260709512785920 is a `hidden beast` number, since 2 + 60 + 7 + 0 + 9 + 512 + 7 + 8 + 59 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29615980239 + ... + 29615989041.

It is an arithmetic number, because the mean of its divisors is an integer number (820796585448).

Almost surely, 2^{260709512785920} is an apocalyptic number.

260709512785920 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 260709512785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512177069319552).

260709512785920 is an abundant number, since it is smaller than the sum of its proper divisors (763644625853184).

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

260709512785920 is an equidigital number, since it uses as much as digits as its factorization.

260709512785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 260709512785920 in words is "two hundred sixty trillion, seven hundred nine billion, five hundred twelve million, seven hundred eighty-five thousand, nine hundred twenty".