158388047516160 has 5120 divisors, whose sum is σ = 752668626124800. Its totient is φ = 30619474329600.

The previous prime is 158388047516117. The next prime is 158388047516207. The reversal of 158388047516160 is 61615740883851.

It is a happy number.

158388047516160 is a `hidden beast` number, since 1 + 5 + 8 + 3 + 8 + 8 + 0 + 4 + 7 + 5 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×158388047516160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 515921978727 + ... + 515921979033.

It is an arithmetic number, because the mean of its divisors is an integer number (147005591040).

Almost surely, 2^{158388047516160} is an apocalyptic number.

158388047516160 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 158388047516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376334313062400).

158388047516160 is an abundant number, since it is smaller than the sum of its proper divisors (594280578608640).

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

158388047516160 is a wasteful number, since it uses less digits than its factorization.

158388047516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 158388047516160 in words is "one hundred fifty-eight trillion, three hundred eighty-eight billion, forty-seven million, five hundred sixteen thousand, one hundred sixty".