15936399360 has 432 divisors, whose sum is σ = 64268486100. Its totient is φ = 3641573376.

The previous prime is 15936399341. The next prime is 15936399373. The reversal of 15936399360 is 6399363951.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14469202944 + 1467196416 = 120288^2 + 38304^2 .

It is a super-2 number, since 2×15936399360² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15936399297 and 15936399306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4514076 + ... + 4517604.

Almost surely, 2^15936399360 is an apocalyptic number.

15936399360 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 15936399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32134243050).

15936399360 is an abundant number, since it is smaller than the sum of its proper divisors (48332086740).

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

15936399360 is a wasteful number, since it uses less digits than its factorization.

15936399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 3542940, while the sum is 54.

The spelling of 15936399360 in words is "fifteen billion, nine hundred thirty-six million, three hundred ninety-nine thousand, three hundred sixty".