13307857597440 has 1584 divisors, whose sum is σ = 58559229892800. Its totient is φ = 2881450672128.

The previous prime is 13307857597417. The next prime is 13307857597493. The reversal of 13307857597440 is 4479575870331.

13307857597440 is a `hidden beast` number, since 1 + 3 + 30 + 7 + 8 + 5 + 7 + 597 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 1158307216 + ... + 1158318704.

Almost surely, 2^{13307857597440} is an apocalyptic number.

13307857597440 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 13307857597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29279614946400).

13307857597440 is an abundant number, since it is smaller than the sum of its proper divisors (45251372295360).

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

13307857597440 is a wasteful number, since it uses less digits than its factorization.

13307857597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11562 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 13307857597440 in words is "thirteen trillion, three hundred seven billion, eight hundred fifty-seven million, five hundred ninety-seven thousand, four hundred forty".