13390585528320 has 3360 divisors, whose sum is σ = 65849889243600. Its totient is φ = 2568423997440.

The previous prime is 13390585528291. The next prime is 13390585528321. The reversal of 13390585528320 is 2382558509331.

It is a happy number.

13390585528320 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 0 + 5 + 8 + 552 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13390585528321) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1030045040634 + ... + 1030045040646.

Almost surely, 2^{13390585528320} is an apocalyptic number.

13390585528320 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 13390585528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32924944621800).

13390585528320 is an abundant number, since it is smaller than the sum of its proper divisors (52459303715280).

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

13390585528320 is an frugal number, since it uses more digits than its factorization.

13390585528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 13390585528320 in words is "thirteen trillion, three hundred ninety billion, five hundred eighty-five million, five hundred twenty-eight thousand, three hundred twenty".