13830324000 has 96 divisors (see below), whose sum is σ = 45308180736. Its totient is φ = 3688083200.

The previous prime is 13830323993. The next prime is 13830324019. The reversal of 13830324000 is 42303831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 564264 + ... + 588263.

It is an arithmetic number, because the mean of its divisors is an integer number (471960216).

Almost surely, 2^13830324000 is an apocalyptic number.

13830324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13830324000 is an abundant number, since it is smaller than the sum of its proper divisors (31477856736).

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

13830324000 is a wasteful number, since it uses less digits than its factorization.

13830324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152555 (or 1152537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13830324000 its reverse (42303831), we get a palindrome (13872627831).

The spelling of 13830324000 in words is "thirteen billion, eight hundred thirty million, three hundred twenty-four thousand".