158520417120 has 768 divisors, whose sum is σ = 623660083200. Its totient is φ = 37336965120.

The previous prime is 158520417119. The next prime is 158520417221. The reversal of 158520417120 is 21714025851.

It is a happy number.

158520417120 is a `hidden beast` number, since 1 + 5 + 8 + 520 + 4 + 1 + 7 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 213351469 + ... + 213352211.

It is an arithmetic number, because the mean of its divisors is an integer number (812057400).

Almost surely, 2^158520417120 is an apocalyptic number.

158520417120 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 158520417120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311830041600).

158520417120 is an abundant number, since it is smaller than the sum of its proper divisors (465139666080).

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

158520417120 is a wasteful number, since it uses less digits than its factorization.

158520417120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 158520417120 in words is "one hundred fifty-eight billion, five hundred twenty million, four hundred seventeen thousand, one hundred twenty".