13325634128640 has 288 divisors, whose sum is σ = 44222604152832. Its totient is φ = 3416094720000.

The previous prime is 13325634128563. The next prime is 13325634128731. The reversal of 13325634128640 is 4682143652331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13325634128640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17604370 + ... + 18345710.

It is an arithmetic number, because the mean of its divisors is an integer number (153550708864).

Almost surely, 2^{13325634128640} is an apocalyptic number.

13325634128640 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 13325634128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22111302076416).

13325634128640 is an abundant number, since it is smaller than the sum of its proper divisors (30896970024192).

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

13325634128640 is a wasteful number, since it uses less digits than its factorization.

13325634128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741547 (or 741533 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 13325634128640 in words is "thirteen trillion, three hundred twenty-five billion, six hundred thirty-four million, one hundred twenty-eight thousand, six hundred forty".