13661010251200 has 336 divisors, whose sum is σ = 36904893623136. Its totient is φ = 4946009702400.

The previous prime is 13661010251191. The next prime is 13661010251233. The reversal of 13661010251200 is 215201016631.

13661010251200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3090024990 + ... + 3090029410.

It is an arithmetic number, because the mean of its divisors is an integer number (109835992926).

Almost surely, 2^{13661010251200} is an apocalyptic number.

13661010251200 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 13661010251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452446811568).

13661010251200 is an abundant number, since it is smaller than the sum of its proper divisors (23243883371936).

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

13661010251200 is a wasteful number, since it uses less digits than its factorization.

13661010251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 13661010251200 its reverse (215201016631), we get a palindrome (13876211267831).

The spelling of 13661010251200 in words is "thirteen trillion, six hundred sixty-one billion, ten million, two hundred fifty-one thousand, two hundred".