13430167086000 has 320 divisors, whose sum is σ = 50080620635136. Its totient is φ = 3032766720000.

The previous prime is 13430167085977. The next prime is 13430167086023. The reversal of 13430167086000 is 68076103431.

13430167086000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13430167085977) and next prime (13430167086023).

It is a self number, because there is not a number n which added to its sum of digits gives 13430167086000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1559700 + ... + 5412300.

Almost surely, 2^{13430167086000} is an apocalyptic number.

13430167086000 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 13430167086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25040310317568).

13430167086000 is an abundant number, since it is smaller than the sum of its proper divisors (36650453549136).

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

13430167086000 is a wasteful number, since it uses less digits than its factorization.

13430167086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852717 (or 3852701 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13430167086000 in words is "thirteen trillion, four hundred thirty billion, one hundred sixty-seven million, eighty-six thousand".