13087069219840 has 704 divisors, whose sum is σ = 41478809702400. Its totient is φ = 3842231500800.

The previous prime is 13087069219823. The next prime is 13087069219843. The reversal of 13087069219840 is 4891296078031.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (13087069219843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468737401 + ... + 468765319.

Almost surely, 2^{13087069219840} is an apocalyptic number.

13087069219840 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 13087069219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739404851200).

13087069219840 is an abundant number, since it is smaller than the sum of its proper divisors (28391740482560).

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

13087069219840 is a wasteful number, since it uses less digits than its factorization.

13087069219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28032 (or 28014 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 13087069219840 in words is "thirteen trillion, eighty-seven billion, sixty-nine million, two hundred nineteen thousand, eight hundred forty".