15958645248 has 640 divisors, whose sum is σ = 56316395520. Its totient is φ = 3901685760.

The previous prime is 15958645207. The next prime is 15958645253. The reversal of 15958645248 is 84254685951.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125658561 + ... + 125658687.

It is an arithmetic number, because the mean of its divisors is an integer number (87994368).

Almost surely, 2^15958645248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15958645248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28158197760).

15958645248 is an abundant number, since it is smaller than the sum of its proper divisors (40357750272).

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

15958645248 is a wasteful number, since it uses less digits than its factorization.

15958645248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 57.

The spelling of 15958645248 in words is "fifteen billion, nine hundred fifty-eight million, six hundred forty-five thousand, two hundred forty-eight".