260460546631300 has 576 divisors, whose sum is σ = 641342701440000. Its totient is φ = 91380964147200.

The previous prime is 260460546631291. The next prime is 260460546631301. The reversal of 260460546631300 is 3136645064062.

It is not an unprimeable number, because it can be changed into a prime (260460546631301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40869374914 + ... + 40869381286.

It is an arithmetic number, because the mean of its divisors is an integer number (1113442190000).

Almost surely, 2^{260460546631300} is an apocalyptic number.

260460546631300 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 260460546631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320671350720000).

260460546631300 is an abundant number, since it is smaller than the sum of its proper divisors (380882154808700).

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

260460546631300 is a wasteful number, since it uses less digits than its factorization.

260460546631300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 260460546631300 in words is "two hundred sixty trillion, four hundred sixty billion, five hundred forty-six million, six hundred thirty-one thousand, three hundred".