15936417360 has 320 divisors, whose sum is σ = 56493884160. Its totient is φ = 4127385600.

The previous prime is 15936417319. The next prime is 15936417391. The reversal of 15936417360 is 6371463951.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 12248710 + ... + 12250010.

It is an arithmetic number, because the mean of its divisors is an integer number (176543388).

Almost surely, 2^15936417360 is an apocalyptic number.

15936417360 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 15936417360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28246942080).

15936417360 is an abundant number, since it is smaller than the sum of its proper divisors (40557466800).

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

15936417360 is a wasteful number, since it uses less digits than its factorization.

15936417360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 15936417360 in words is "fifteen billion, nine hundred thirty-six million, four hundred seventeen thousand, three hundred sixty".