13628257202196 has 1008 divisors, whose sum is σ = 46526825399040. Its totient is φ = 3456375390720.

The previous prime is 13628257202149. The next prime is 13628257202221. The reversal of 13628257202196 is 69120275282631.

13628257202196 is a `hidden beast` number, since 1 + 3 + 62 + 8 + 2 + 572 + 0 + 2 + 1 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 23216792215 + ... + 23216792801.

It is an arithmetic number, because the mean of its divisors is an integer number (46157564880).

Almost surely, 2^{13628257202196} 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 13628257202196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23263412699520).

13628257202196 is an abundant number, since it is smaller than the sum of its proper divisors (32898568196844).

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

13628257202196 is a wasteful number, since it uses less digits than its factorization.

13628257202196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13628257202196 in words is "thirteen trillion, six hundred twenty-eight billion, two hundred fifty-seven million, two hundred two thousand, one hundred ninety-six".