16315612560 has 240 divisors, whose sum is σ = 59841669888. Its totient is φ = 3959424000.

The previous prime is 16315612553. The next prime is 16315612561. The reversal of 16315612560 is 6521651361.

16315612560 is a `hidden beast` number, since 1 + 6 + 31 + 5 + 61 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16315612561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652285 + ... + 676835.

Almost surely, 2^16315612560 is an apocalyptic number.

16315612560 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 16315612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29920834944).

16315612560 is an abundant number, since it is smaller than the sum of its proper divisors (43526057328).

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

16315612560 is a wasteful number, since it uses less digits than its factorization.

16315612560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24654 (or 24645 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 16315612560 in words is "sixteen billion, three hundred fifteen million, six hundred twelve thousand, five hundred sixty".