13892326089600 has 384 divisors, whose sum is σ = 52323167174400. Its totient is φ = 3173659361280.

The previous prime is 13892326089527. The next prime is 13892326089617. The reversal of 13892326089600 is 698062329831.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125407036 + ... + 125517764.

It is an arithmetic number, because the mean of its divisors is an integer number (136258247850).

Almost surely, 2^{13892326089600} is an apocalyptic number.

13892326089600 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 13892326089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26161583587200).

13892326089600 is an abundant number, since it is smaller than the sum of its proper divisors (38430841084800).

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

13892326089600 is a wasteful number, since it uses less digits than its factorization.

13892326089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112630 (or 112613 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 13892326089600 in words is "thirteen trillion, eight hundred ninety-two billion, three hundred twenty-six million, eighty-nine thousand, six hundred".