15948840960 has 396 divisors, whose sum is σ = 59869481022. Its totient is φ = 3925868544.

The previous prime is 15948840937. The next prime is 15948840967. The reversal of 15948840960 is 6904884951.

15948840960 is a `hidden beast` number, since 1 + 594 + 8 + 8 + 40 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6879707136 + 9069133824 = 82944^2 + 95232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15948840897 and 15948840906.

It is not an unprimeable number, because it can be changed into a prime (15948840967) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1226833914 + ... + 1226833926.

Almost surely, 2^15948840960 is an apocalyptic number.

15948840960 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 15948840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934740511).

15948840960 is an abundant number, since it is smaller than the sum of its proper divisors (43920640062).

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

15948840960 is an frugal number, since it uses more digits than its factorization.

15948840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 15948840960 in words is "fifteen billion, nine hundred forty-eight million, eight hundred forty thousand, nine hundred sixty".