15413938000 has 80 divisors (see below), whose sum is σ = 37409748480. Its totient is φ = 6142608000.

The previous prime is 15413937997. The next prime is 15413938013. The reversal of 15413938000 is 83931451.

15413938000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 527781 + ... + 556219.

It is an arithmetic number, because the mean of its divisors is an integer number (467621856).

Almost surely, 2^15413938000 is an apocalyptic number.

15413938000 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 15413938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18704874240).

15413938000 is an abundant number, since it is smaller than the sum of its proper divisors (21995810480).

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

15413938000 is a wasteful number, since it uses less digits than its factorization.

15413938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28733 (or 28717 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 15413938000 in words is "fifteen billion, four hundred thirteen million, nine hundred thirty-eight thousand".