15142384320 has 448 divisors, whose sum is σ = 56236916736. Its totient is φ = 3380981760.

The previous prime is 15142384319. The next prime is 15142384331. The reversal of 15142384320 is 2348324151.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90672877 + ... + 90673043.

It is an arithmetic number, because the mean of its divisors is an integer number (125528832).

Almost surely, 2^15142384320 is an apocalyptic number.

15142384320 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 15142384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28118458368).

15142384320 is an abundant number, since it is smaller than the sum of its proper divisors (41094532416).

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

15142384320 is a wasteful number, since it uses less digits than its factorization.

15142384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 15142384320 in words is "fifteen billion, one hundred forty-two million, three hundred eighty-four thousand, three hundred twenty".