260853085440 has 432 divisors, whose sum is σ = 957070296000. Its totient is φ = 65411186688.

The previous prime is 260853085433. The next prime is 260853085511. The reversal of 260853085440 is 44580358062.

260853085440 is a `hidden beast` number, since 2 + 60 + 8 + 530 + 8 + 54 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 29982211 + ... + 29990909.

It is an arithmetic number, because the mean of its divisors is an integer number (2215440500).

Almost surely, 2^260853085440 is an apocalyptic number.

260853085440 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 260853085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478535148000).

260853085440 is an abundant number, since it is smaller than the sum of its proper divisors (696217210560).

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

260853085440 is a wasteful number, since it uses less digits than its factorization.

260853085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 260853085440 in words is "two hundred sixty billion, eight hundred fifty-three million, eighty-five thousand, four hundred forty".