15216049920 has 576 divisors, whose sum is σ = 54365036544. Its totient is φ = 3609722880.

The previous prime is 15216049907. The next prime is 15216049967. The reversal of 15216049920 is 2994061251.

15216049920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 147728589 + ... + 147728691.

It is an arithmetic number, because the mean of its divisors is an integer number (94383744).

Almost surely, 2^15216049920 is an apocalyptic number.

15216049920 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 15216049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27182518272).

15216049920 is an abundant number, since it is smaller than the sum of its proper divisors (39148986624).

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

15216049920 is a wasteful number, since it uses less digits than its factorization.

15216049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 15216049920 in words is "fifteen billion, two hundred sixteen million, forty-nine thousand, nine hundred twenty".