13024352000 has 288 divisors, whose sum is σ = 35768888064. Its totient is φ = 4686336000.

The previous prime is 13024351973. The next prime is 13024352021. The reversal of 13024352000 is 25342031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57375887 + ... + 57376113.

It is an arithmetic number, because the mean of its divisors is an integer number (124197528).

Almost surely, 2^13024352000 is an apocalyptic number.

13024352000 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 13024352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884444032).

13024352000 is an abundant number, since it is smaller than the sum of its proper divisors (22744536064).

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

13024352000 is a wasteful number, since it uses less digits than its factorization.

13024352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13024352000 its reverse (25342031), we get a palindrome (13049694031).

The spelling of 13024352000 in words is "thirteen billion, twenty-four million, three hundred fifty-two thousand".