13800402799200 has 720 divisors, whose sum is σ = 50851343743200. Its totient is φ = 3641898516480.

The previous prime is 13800402799187. The next prime is 13800402799213. The reversal of 13800402799200 is 299720400831.

13800402799200 is a `hidden beast` number, since 1 + 38 + 0 + 0 + 402 + 7 + 9 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (13800402799187) and next prime (13800402799213).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13800402799200² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7080759826 + ... + 7080761774.

It is an arithmetic number, because the mean of its divisors is an integer number (70626866310).

Almost surely, 2^{13800402799200} is an apocalyptic number.

13800402799200 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 13800402799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425671871600).

13800402799200 is an abundant number, since it is smaller than the sum of its proper divisors (37050940944000).

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

13800402799200 is a wasteful number, since it uses less digits than its factorization.

13800402799200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13800402799200 in words is "thirteen trillion, eight hundred billion, four hundred two million, seven hundred ninety-nine thousand, two hundred".