13409688888000 has 896 divisors, whose sum is σ = 50871985632000. Its totient is φ = 3455612928000.

The previous prime is 13409688887999. The next prime is 13409688888061. The reversal of 13409688888000 is 88888690431.

13409688888000 is a `hidden beast` number, since 13 + 409 + 68 + 8 + 88 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1190802370 + ... + 1190813630.

Almost surely, 2^{13409688888000} is an apocalyptic number.

13409688888000 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 13409688888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25435992816000).

13409688888000 is an abundant number, since it is smaller than the sum of its proper divisors (37462296744000).

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

13409688888000 is a wasteful number, since it uses less digits than its factorization.

13409688888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11483 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 13409688888000 in words is "thirteen trillion, four hundred nine billion, six hundred eighty-eight million, eight hundred eighty-eight thousand".