260149041360 has 1200 divisors, whose sum is σ = 1033273866240. Its totient is φ = 60555755520.

The previous prime is 260149041259. The next prime is 260149041367. The reversal of 260149041360 is 63140941062.

260149041360 is a `hidden beast` number, since 2 + 601 + 4 + 9 + 0 + 41 + 3 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260149041367) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 2681948832 + ... + 2681948928.

Almost surely, 2^260149041360 is an apocalyptic number.

260149041360 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 260149041360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516636933120).

260149041360 is an abundant number, since it is smaller than the sum of its proper divisors (773124824880).

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

260149041360 is a wasteful number, since it uses less digits than its factorization.

260149041360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 260149041360 in words is "two hundred sixty billion, one hundred forty-nine million, forty-one thousand, three hundred sixty".