13879950200064 has 576 divisors, whose sum is σ = 45781021440000. Its totient is φ = 4118619488256.

The previous prime is 13879950200063. The next prime is 13879950200071. The reversal of 13879950200064 is 46000205997831.

13879950200064 is a `hidden beast` number, since 1 + 3 + 8 + 79 + 9 + 502 + 0 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (13879950200063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2629273777 + ... + 2629279055.

It is an arithmetic number, because the mean of its divisors is an integer number (79480940000).

It is a 1-persistent number, because it is pandigital, but 2⋅13879950200064 = 27759900400128 is not.

Almost surely, 2^{13879950200064} 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 13879950200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890510720000).

13879950200064 is an abundant number, since it is smaller than the sum of its proper divisors (31901071239936).

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

13879950200064 is a wasteful number, since it uses less digits than its factorization.

13879950200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13879950200064 in words is "thirteen trillion, eight hundred seventy-nine billion, nine hundred fifty million, two hundred thousand, sixty-four".