13628713363200 has 1728 divisors, whose sum is σ = 55425758080000. Its totient is φ = 3255678074880.

The previous prime is 13628713363163. The next prime is 13628713363249. The reversal of 13628713363200 is 236331782631.

13628713363200 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 8 + 7 + 1 + 3 + 3 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×13628713363200² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 19222444446 + ... + 19222445154.

Almost surely, 2^{13628713363200} is an apocalyptic number.

13628713363200 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 13628713363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27712879040000).

13628713363200 is an abundant number, since it is smaller than the sum of its proper divisors (41797044716800).

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

13628713363200 is a wasteful number, since it uses less digits than its factorization.

13628713363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13628713363200 in words is "thirteen trillion, six hundred twenty-eight billion, seven hundred thirteen million, three hundred sixty-three thousand, two hundred".