260774380800 has 864 divisors, whose sum is σ = 1000928158720. Its totient is φ = 67184640000.

The previous prime is 260774380753. The next prime is 260774380817. The reversal of 260774380800 is 8083477062.

It is a happy number.

260774380800 is a `hidden beast` number, since 2 + 607 + 7 + 4 + 38 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 433900500 + ... + 433901100.

Almost surely, 2^260774380800 is an apocalyptic number.

260774380800 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 260774380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500464079360).

260774380800 is an abundant number, since it is smaller than the sum of its proper divisors (740153777920).

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

260774380800 is an frugal number, since it uses more digits than its factorization.

260774380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 260774380800 in words is "two hundred sixty billion, seven hundred seventy-four million, three hundred eighty thousand, eight hundred".