159830467920 has 320 divisors, whose sum is σ = 561278361600. Its totient is φ = 41796518400.

The previous prime is 159830467919. The next prime is 159830467931. The reversal of 159830467920 is 29764038951.

159830467920 is a `hidden beast` number, since 1 + 5 + 98 + 3 + 0 + 467 + 92 + 0 = 666.

It is a super-2 number, since 2×159830467920² (a number of 23 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 25763539 + ... + 25769741.

It is an arithmetic number, because the mean of its divisors is an integer number (1753994880).

It is a 1-persistent number, because it is pandigital, but 2⋅159830467920 = 319660935840 is not.

Almost surely, 2^159830467920 is an apocalyptic number.

159830467920 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 159830467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280639180800).

159830467920 is an abundant number, since it is smaller than the sum of its proper divisors (401447893680).

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

159830467920 is a wasteful number, since it uses less digits than its factorization.

159830467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6455 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 159830467920 in words is "one hundred fifty-nine billion, eight hundred thirty million, four hundred sixty-seven thousand, nine hundred twenty".