13085598240 has 864 divisors, whose sum is σ = 54350215920. Its totient is φ = 2846638080.

The previous prime is 13085598233. The next prime is 13085598269. The reversal of 13085598240 is 4289558031.

13085598240 is a `hidden beast` number, since 1 + 30 + 8 + 5 + 598 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5881662864 + 7203935376 = 76692^2 + 84876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120051306 + ... + 120051414.

Almost surely, 2^13085598240 is an apocalyptic number.

13085598240 is a gapful number since it is divisible by the number (10) 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 13085598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27175107960).

13085598240 is an abundant number, since it is smaller than the sum of its proper divisors (41264617680).

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

13085598240 is a wasteful number, since it uses less digits than its factorization.

13085598240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 13085598240 in words is "thirteen billion, eighty-five million, five hundred ninety-eight thousand, two hundred forty".