158199509160 has 960 divisors, whose sum is σ = 707453429760. Its totient is φ = 30929817600.

The previous prime is 158199509131. The next prime is 158199509231. The reversal of 158199509160 is 61905991851.

158199509160 is a `hidden beast` number, since 1 + 581 + 9 + 9 + 50 + 9 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 158199509097 and 158199509106.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 46651065 + ... + 46654455.

It is an arithmetic number, because the mean of its divisors is an integer number (736930656).

Almost surely, 2^158199509160 is an apocalyptic number.

158199509160 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 158199509160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353726714880).

158199509160 is an abundant number, since it is smaller than the sum of its proper divisors (549253920600).

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

158199509160 is a wasteful number, since it uses less digits than its factorization.

158199509160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 54.

The spelling of 158199509160 in words is "one hundred fifty-eight billion, one hundred ninety-nine million, five hundred nine thousand, one hundred sixty".