15967873152 has 384 divisors, whose sum is σ = 60662908800. Its totient is φ = 3903160320.

The previous prime is 15967873151. The next prime is 15967873157. The reversal of 15967873152 is 25137876951.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (15967873151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1502674 + ... + 1513262.

It is an arithmetic number, because the mean of its divisors is an integer number (157976325).

Almost surely, 2^15967873152 is an apocalyptic number.

15967873152 is a gapful number since it is divisible by the number (12) 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 15967873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30331454400).

15967873152 is an abundant number, since it is smaller than the sum of its proper divisors (44695035648).

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

15967873152 is a wasteful number, since it uses less digits than its factorization.

15967873152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644 (or 10629 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 15967873152 in words is "fifteen billion, nine hundred sixty-seven million, eight hundred seventy-three thousand, one hundred fifty-two".