159947161920 has 2240 divisors, whose sum is σ = 763344046080. Its totient is φ = 30851186688.

The previous prime is 159947161919. The next prime is 159947161943. The reversal of 159947161920 is 29161749951.

It is a happy number.

159947161920 is a `hidden beast` number, since 1 + 5 + 99 + 471 + 61 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1927074199 + ... + 1927074281.

It is an arithmetic number, because the mean of its divisors is an integer number (340778592).

Almost surely, 2^159947161920 is an apocalyptic number.

159947161920 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 159947161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381672023040).

159947161920 is an abundant number, since it is smaller than the sum of its proper divisors (603396884160).

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

159947161920 is a wasteful number, since it uses less digits than its factorization.

159947161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 159947161920 in words is "one hundred fifty-nine billion, nine hundred forty-seven million, one hundred sixty-one thousand, nine hundred twenty".