15981409152 has 96 divisors (see below), whose sum is σ = 46030445760. Its totient is φ = 5322240000.

The previous prime is 15981409151. The next prime is 15981409159. The reversal of 15981409152 is 25190418951.

15981409152 is a `hidden beast` number, since 1 + 5 + 98 + 1 + 409 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 15981409098 and 15981409107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15981409151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1377777 + ... + 1389327.

It is an arithmetic number, because the mean of its divisors is an integer number (479483810).

Almost surely, 2^15981409152 is an apocalyptic number.

15981409152 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 15981409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23015222880).

15981409152 is an abundant number, since it is smaller than the sum of its proper divisors (30049036608).

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

15981409152 is a wasteful number, since it uses less digits than its factorization.

15981409152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 15981409152 in words is "fifteen billion, nine hundred eighty-one million, four hundred nine thousand, one hundred fifty-two".