13029825024 has 160 divisors (see below), whose sum is σ = 38739127680. Its totient is φ = 4324147200.

The previous prime is 13029824999. The next prime is 13029825031. The reversal of 13029825024 is 42052892031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13029825024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3329629 + ... + 3333539.

It is an arithmetic number, because the mean of its divisors is an integer number (242119548).

Almost surely, 2^13029825024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13029825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369563840).

13029825024 is an abundant number, since it is smaller than the sum of its proper divisors (25709302656).

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

13029825024 is an equidigital number, since it uses as much as digits as its factorization.

13029825024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13029825024 in words is "thirteen billion, twenty-nine million, eight hundred twenty-five thousand, twenty-four".