260779344000 has 512 divisors, whose sum is σ = 990586920960. Its totient is φ = 59449651200.

The previous prime is 260779343999. The next prime is 260779344011. The reversal of 260779344000 is 443977062.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 169007229 + ... + 169008771.

It is an arithmetic number, because the mean of its divisors is an integer number (1934740080).

Almost surely, 2^260779344000 is an apocalyptic number.

260779344000 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 260779344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495293460480).

260779344000 is an abundant number, since it is smaller than the sum of its proper divisors (729807576960).

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

260779344000 is a wasteful number, since it uses less digits than its factorization.

260779344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 260779344000 in words is "two hundred sixty billion, seven hundred seventy-nine million, three hundred forty-four thousand".