13582095240 has 256 divisors, whose sum is σ = 49724928000. Its totient is φ = 2900265984.

The previous prime is 13582095221. The next prime is 13582095251. The reversal of 13582095240 is 4259028531.

It is a super-2 number, since 2×13582095240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822586 + ... + 838934.

It is an arithmetic number, because the mean of its divisors is an integer number (194238000).

Almost surely, 2^13582095240 is an apocalyptic number.

13582095240 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 13582095240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862464000).

13582095240 is an abundant number, since it is smaller than the sum of its proper divisors (36142832760).

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

13582095240 is a wasteful number, since it uses less digits than its factorization.

13582095240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 13582095240 in words is "thirteen billion, five hundred eighty-two million, ninety-five thousand, two hundred forty".