260799462000 has 720 divisors, whose sum is σ = 1155972021984. Its totient is φ = 54190080000.

The previous prime is 260799461983. The next prime is 260799462061. The reversal of 260799462000 is 264997062.

260799462000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9688560 + ... + 9715440.

Almost surely, 2^260799462000 is an apocalyptic number.

260799462000 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 260799462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577986010992).

260799462000 is an abundant number, since it is smaller than the sum of its proper divisors (895172559984).

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

260799462000 is a wasteful number, since it uses less digits than its factorization.

260799462000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26935 (or 26909 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 260799462000 in words is "two hundred sixty billion, seven hundred ninety-nine million, four hundred sixty-two thousand".