13002375950304 has 192 divisors, whose sum is σ = 36898254679104. Its totient is φ = 3985337696256.

The previous prime is 13002375950287. The next prime is 13002375950323. The reversal of 13002375950304 is 40305957320031.

It is a congruent number.

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, 1022755852 + ... + 1022768564.

It is an arithmetic number, because the mean of its divisors is an integer number (192178409787).

Almost surely, 2^{13002375950304} 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 13002375950304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18449127339552).

13002375950304 is an abundant number, since it is smaller than the sum of its proper divisors (23895878728800).

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

13002375950304 is a wasteful number, since it uses less digits than its factorization.

13002375950304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15829 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 13002375950304 in words is "thirteen trillion, two billion, three hundred seventy-five million, nine hundred fifty thousand, three hundred four".