13598928000 has 640 divisors, whose sum is σ = 57760560000. Its totient is φ = 3106252800.

The previous prime is 13598927999. The next prime is 13598928029. The reversal of 13598928000 is 82989531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071251 + ... + 9072749.

It is an arithmetic number, because the mean of its divisors is an integer number (90250875).

Almost surely, 2^13598928000 is an apocalyptic number.

13598928000 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 13598928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28880280000).

13598928000 is an abundant number, since it is smaller than the sum of its proper divisors (44161632000).

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

13598928000 is an equidigital number, since it uses as much as digits as its factorization.

13598928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 13598928000 in words is "thirteen billion, five hundred ninety-eight million, nine hundred twenty-eight thousand".