15909828480 has 768 divisors, whose sum is σ = 68434329600. Its totient is φ = 3316432896.

The previous prime is 15909828439. The next prime is 15909828503. The reversal of 15909828480 is 8482890951.

15909828480 is a `hidden beast` number, since 1 + 59 + 0 + 98 + 28 + 480 = 666.

It is a super-2 number, since 2×15909828480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66568201 + ... + 66568439.

It is an arithmetic number, because the mean of its divisors is an integer number (89107200).

Almost surely, 2^15909828480 is an apocalyptic number.

15909828480 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 15909828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34217164800).

15909828480 is an abundant number, since it is smaller than the sum of its proper divisors (52524501120).

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

15909828480 is a wasteful number, since it uses less digits than its factorization.

15909828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

It can be divided in two parts, 159098 and 28480, that added together give a triangular number (187578 = T₆₁₂).

The spelling of 15909828480 in words is "fifteen billion, nine hundred nine million, eight hundred twenty-eight thousand, four hundred eighty".