13591398240 has 288 divisors, whose sum is σ = 54970755840. Its totient is φ = 3106543104.

The previous prime is 13591398239. The next prime is 13591398253. The reversal of 13591398240 is 4289319531.

It is a happy number.

13591398240 is a `hidden beast` number, since 1 + 3 + 591 + 39 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13591398240² (a number of 21 digits) contains 22 as substring.

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, 247191 + ... + 297129.

It is an arithmetic number, because the mean of its divisors is an integer number (190870680).

Almost surely, 2^13591398240 is an apocalyptic number.

13591398240 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 13591398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27485377920).

13591398240 is an abundant number, since it is smaller than the sum of its proper divisors (41379357600).

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

13591398240 is an equidigital number, since it uses as much as digits as its factorization.

13591398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49976 (or 49956 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13591398240 in words is "thirteen billion, five hundred ninety-one million, three hundred ninety-eight thousand, two hundred forty".