13830165190000 has 200 divisors, whose sum is σ = 35027414164512. Its totient is φ = 5278310400000.

The previous prime is 13830165189947. The next prime is 13830165190001. The reversal of 13830165190000 is 9156103831.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×13830165190000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13830165190001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92155024 + ... + 92304976.

Almost surely, 2^{13830165190000} is an apocalyptic number.

13830165190000 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 13830165190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17513707082256).

13830165190000 is an abundant number, since it is smaller than the sum of its proper divisors (21197248974512).

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

13830165190000 is a wasteful number, since it uses less digits than its factorization.

13830165190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150405 (or 150384 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 13830165190000 in words is "thirteen trillion, eight hundred thirty billion, one hundred sixty-five million, one hundred ninety thousand".