13325208973824 has 320 divisors, whose sum is σ = 40808865208320. Its totient is φ = 3821266944000.

The previous prime is 13325208973807. The next prime is 13325208973829. The reversal of 13325208973824 is 42837980252331.

It is a super-2 number, since 2×13325208973824² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (13325208973829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302061529 + ... + 302105639.

It is an arithmetic number, because the mean of its divisors is an integer number (127527703776).

Almost surely, 2^{13325208973824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13325208973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20404432604160).

13325208973824 is an abundant number, since it is smaller than the sum of its proper divisors (27483656234496).

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

13325208973824 is a wasteful number, since it uses less digits than its factorization.

13325208973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45103 (or 45087 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 13325208973824 in words is "thirteen trillion, three hundred twenty-five billion, two hundred eight million, nine hundred seventy-three thousand, eight hundred twenty-four".