260808007680 has 672 divisors, whose sum is σ = 1019743452000. Its totient is φ = 63193743360.

The previous prime is 260808007643. The next prime is 260808007703. The reversal of 260808007680 is 86700808062.

260808007680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133815346 + ... + 133817294.

It is an arithmetic number, because the mean of its divisors is an integer number (1517475375).

Almost surely, 2^260808007680 is an apocalyptic number.

260808007680 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 260808007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509871726000).

260808007680 is an abundant number, since it is smaller than the sum of its proper divisors (758935444320).

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

260808007680 is a wasteful number, since it uses less digits than its factorization.

260808007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 260808007680 in words is "two hundred sixty billion, eight hundred eight million, seven thousand, six hundred eighty".