260702208000 has 1008 divisors, whose sum is σ = 1071761601456. Its totient is φ = 60397977600.

The previous prime is 260702207993. The next prime is 260702208001. The reversal of 260702208000 is 802207062.

It can be written as a sum of positive squares in 8 ways, for example, as 96268713984 + 164433494016 = 310272^2 + 405504^2 .

It is a super-5 number, since 5×260702208000⁵ (a number of 58 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260702208001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15335423992 + ... + 15335424008.

It is an arithmetic number, because the mean of its divisors is an integer number (1063255557).

Almost surely, 2^260702208000 is an apocalyptic number.

260702208000 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 260702208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535880800728).

260702208000 is an abundant number, since it is smaller than the sum of its proper divisors (811059393456).

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

260702208000 is an frugal number, since it uses more digits than its factorization.

260702208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 260702208000 in words is "two hundred sixty billion, seven hundred two million, two hundred eight thousand".