13800615360000 has 800 divisors, whose sum is σ = 52759886032128. Its totient is φ = 3139153920000.

The previous prime is 13800615359987. The next prime is 13800615360001. The reversal of 13800615360000 is 6351600831.

It is a tau number, because it is divible by the number of its divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800615360001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1417915134 + ... + 1417924866.

Almost surely, 2^{13800615360000} is an apocalyptic number.

13800615360000 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 13800615360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26379943016064).

13800615360000 is an abundant number, since it is smaller than the sum of its proper divisors (38959270672128).

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

13800615360000 is an frugal number, since it uses more digits than its factorization.

13800615360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9992 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 13800615360000 its reverse (6351600831), we get a palindrome (13806966960831).

The spelling of 13800615360000 in words is "thirteen trillion, eight hundred billion, six hundred fifteen million, three hundred sixty thousand".