13435966000 has 80 divisors (see below), whose sum is σ = 32517883008. Its totient is φ = 5369472000.

The previous prime is 13435965989. The next prime is 13435966057. The reversal of 13435966000 is 66953431.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2843640 + ... + 2848360.

Almost surely, 2^13435966000 is an apocalyptic number.

13435966000 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 13435966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258941504).

13435966000 is an abundant number, since it is smaller than the sum of its proper divisors (19081917008).

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

13435966000 is a wasteful number, since it uses less digits than its factorization.

13435966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 13435966000 in words is "thirteen billion, four hundred thirty-five million, nine hundred sixty-six thousand".