260113924800 has 252 divisors, whose sum is σ = 931164594360. Its totient is φ = 68864163840.

The previous prime is 260113924781. The next prime is 260113924913. The reversal of 260113924800 is 8429311062.

260113924800 is a `hidden beast` number, since 2 + 60 + 113 + 9 + 2 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1936624 + ... + 2066576.

Almost surely, 2^260113924800 is an apocalyptic number.

260113924800 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 260113924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465582297180).

260113924800 is an abundant number, since it is smaller than the sum of its proper divisors (671050669560).

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

260113924800 is a wasteful number, since it uses less digits than its factorization.

260113924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130120 (or 130102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 260113924800 in words is "two hundred sixty billion, one hundred thirteen million, nine hundred twenty-four thousand, eight hundred".