15413700960 has 576 divisors, whose sum is σ = 62768369664. Its totient is φ = 3370291200.

The previous prime is 15413700937. The next prime is 15413700983. The reversal of 15413700960 is 6900731451.

15413700960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15413700937) and next prime (15413700983).

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

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 95 ways as a sum of consecutive naturals, for example, 33435130 + ... + 33435590.

It is an arithmetic number, because the mean of its divisors is an integer number (108972864).

Almost surely, 2^15413700960 is an apocalyptic number.

15413700960 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 15413700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31384184832).

15413700960 is an abundant number, since it is smaller than the sum of its proper divisors (47354668704).

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

15413700960 is a wasteful number, since it uses less digits than its factorization.

15413700960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 15413700960 in words is "fifteen billion, four hundred thirteen million, seven hundred thousand, nine hundred sixty".