13790645299200 has 2592 divisors, whose sum is σ = 61437703672800. Its totient is φ = 2711361945600.

The previous prime is 13790645299199. The next prime is 13790645299213. The reversal of 13790645299200 is 299254609731.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 17303193202 + ... + 17303193998.

It is an arithmetic number, because the mean of its divisors is an integer number (23702817775).

Almost surely, 2^{13790645299200} is an apocalyptic number.

13790645299200 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 13790645299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718851836400).

13790645299200 is an abundant number, since it is smaller than the sum of its proper divisors (47647058373600).

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

13790645299200 is a wasteful number, since it uses less digits than its factorization.

13790645299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 13790645299200 in words is "thirteen trillion, seven hundred ninety billion, six hundred forty-five million, two hundred ninety-nine thousand, two hundred".