158216367165120 has 3360 divisors, whose sum is σ = 702778998214656. Its totient is φ = 33403473100800.

The previous prime is 158216367165067. The next prime is 158216367165187. The reversal of 158216367165120 is 21561763612851.

158216367165120 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 1 + 63 + 67 + 1 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×158216367165120² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 58750970494 + ... + 58750973186.

Almost surely, 2^{158216367165120} is an apocalyptic number.

158216367165120 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 158216367165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351389499107328).

158216367165120 is an abundant number, since it is smaller than the sum of its proper divisors (544562631049536).

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

158216367165120 is a wasteful number, since it uses less digits than its factorization.

158216367165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 158216367165120 in words is "one hundred fifty-eight trillion, two hundred sixteen billion, three hundred sixty-seven million, one hundred sixty-five thousand, one hundred twenty".