13421688000 has 672 divisors, whose sum is σ = 52525257408. Its totient is φ = 3010560000.

The previous prime is 13421687999. The next prime is 13421688013. The reversal of 13421688000 is 88612431.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118775944 + ... + 118776056.

Almost surely, 2^13421688000 is an apocalyptic number.

13421688000 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 13421688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26262628704).

13421688000 is an abundant number, since it is smaller than the sum of its proper divisors (39103569408).

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

13421688000 is a wasteful number, since it uses less digits than its factorization.

13421688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 13421688000 in words is "thirteen billion, four hundred twenty-one million, six hundred eighty-eight thousand".