16315659360 has 1440 divisors, whose sum is σ = 78857785440. Its totient is φ = 3129477120.

The previous prime is 16315659319. The next prime is 16315659419. The reversal of 16315659360 is 6395651361.

16315659360 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 56 + 593 + 6 + 0 = 666.

16315659360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1255050714 + ... + 1255050726.

It is an arithmetic number, because the mean of its divisors is an integer number (54762351).

Almost surely, 2^16315659360 is an apocalyptic number.

16315659360 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 16315659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39428892720).

16315659360 is an abundant number, since it is smaller than the sum of its proper divisors (62542126080).

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

16315659360 is a wasteful number, since it uses less digits than its factorization.

16315659360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 16315659360 in words is "sixteen billion, three hundred fifteen million, six hundred fifty-nine thousand, three hundred sixty".