13325612523840 has 672 divisors, whose sum is σ = 47642733605376. Its totient is φ = 3416483266560.

The previous prime is 13325612523809. The next prime is 13325612523889. The reversal of 13325612523840 is 4832521652331.

13325612523840 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 5 + 612 + 5 + 23 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2033510004 + ... + 2033516556.

It is an arithmetic number, because the mean of its divisors is an integer number (70896925008).

Almost surely, 2^{13325612523840} is an apocalyptic number.

13325612523840 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 13325612523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821366802688).

13325612523840 is an abundant number, since it is smaller than the sum of its proper divisors (34317121081536).

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

13325612523840 is a wasteful number, since it uses less digits than its factorization.

13325612523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 13325612523840 in words is "thirteen trillion, three hundred twenty-five billion, six hundred twelve million, five hundred twenty-three thousand, eight hundred forty".