13666111417500 has 480 divisors, whose sum is σ = 40883489095680. Its totient is φ = 3550979040000.

The previous prime is 13666111417489. The next prime is 13666111417561. The reversal of 13666111417500 is 571411166631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21253672179 + ... + 21253672821.

It is an arithmetic number, because the mean of its divisors is an integer number (85173935616).

Almost surely, 2^{13666111417500} is an apocalyptic number.

13666111417500 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 13666111417500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20441744547840).

13666111417500 is an abundant number, since it is smaller than the sum of its proper divisors (27217377678180).

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

13666111417500 is a wasteful number, since it uses less digits than its factorization.

13666111417500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 13666111417500 in words is "thirteen trillion, six hundred sixty-six billion, one hundred eleven million, four hundred seventeen thousand, five hundred".