15413201503120 has 80 divisors (see below), whose sum is σ = 36187587596160. Its totient is φ = 6104752837632.

The previous prime is 15413201502899. The next prime is 15413201503121. The reversal of 15413201503120 is 2130510231451.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (15413201503121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78569316 + ... + 78765244.

It is an arithmetic number, because the mean of its divisors is an integer number (452344844952).

Almost surely, 2^{15413201503120} is an apocalyptic number.

15413201503120 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 15413201503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093793798080).

15413201503120 is an abundant number, since it is smaller than the sum of its proper divisors (20774386093040).

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

15413201503120 is a wasteful number, since it uses less digits than its factorization.

15413201503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205592 (or 205586 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 15413201503120 its reverse (2130510231451), we get a palindrome (17543711734571).

The spelling of 15413201503120 in words is "fifteen trillion, four hundred thirteen billion, two hundred one million, five hundred three thousand, one hundred twenty".