260051918400 has 252 divisors, whose sum is σ = 927254980132. Its totient is φ = 69124423680.

The previous prime is 260051918353. The next prime is 260051918437. The reversal of 260051918400 is 4819150062.

260051918400 is a `hidden beast` number, since 2 + 60 + 0 + 5 + 191 + 8 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10467745344 + 249584173056 = 102312^2 + 499584^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4478352 + ... + 4536048.

Almost surely, 2^260051918400 is an apocalyptic number.

260051918400 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 260051918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463627490066).

260051918400 is an abundant number, since it is smaller than the sum of its proper divisors (667203061732).

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

260051918400 is a wasteful number, since it uses less digits than its factorization.

260051918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58038 (or 58020 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 260051918400 in words is "two hundred sixty billion, fifty-one million, nine hundred eighteen thousand, four hundred".