260060564520 has 256 divisors, whose sum is σ = 879048576000. Its totient is φ = 68377540608.

The previous prime is 260060564503. The next prime is 260060564531. The reversal of 260060564520 is 25465060062.

260060564520 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 6 + 0 + 5 + 645 + 2 + 0 = 666.

It is a super-2 number, since 2×260060564520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79943214 + ... + 79946466.

It is an arithmetic number, because the mean of its divisors is an integer number (3433783500).

Almost surely, 2^260060564520 is an apocalyptic number.

260060564520 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 260060564520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439524288000).

260060564520 is an abundant number, since it is smaller than the sum of its proper divisors (618988011480).

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

260060564520 is a wasteful number, since it uses less digits than its factorization.

260060564520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 260060564520 in words is "two hundred sixty billion, sixty million, five hundred sixty-four thousand, five hundred twenty".