13370089824 has 576 divisors, whose sum is σ = 51762110400. Its totient is φ = 3316432896.

The previous prime is 13370089813. The next prime is 13370089829. The reversal of 13370089824 is 42898007331.

It is a self number, because there is not a number n which added to its sum of digits gives 13370089824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13370089829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9355542 + ... + 9356970.

It is an arithmetic number, because the mean of its divisors is an integer number (89864775).

Almost surely, 2^13370089824 is an apocalyptic number.

13370089824 is a gapful number since it is divisible by the number (14) 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 13370089824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25881055200).

13370089824 is an abundant number, since it is smaller than the sum of its proper divisors (38392020576).

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

13370089824 is a wasteful number, since it uses less digits than its factorization.

13370089824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13370089824 in words is "thirteen billion, three hundred seventy million, eighty-nine thousand, eight hundred twenty-four".