159952279760 has 720 divisors, whose sum is σ = 513252149760. Its totient is φ = 45775134720.

The previous prime is 159952279723. The next prime is 159952279801. The reversal of 159952279760 is 67972259951.

159952279760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 159952279693 and 159952279702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2191127084 + ... + 2191127156.

It is an arithmetic number, because the mean of its divisors is an integer number (712850208).

Almost surely, 2^159952279760 is an apocalyptic number.

159952279760 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 159952279760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256626074880).

159952279760 is an abundant number, since it is smaller than the sum of its proper divisors (353299870000).

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

159952279760 is a wasteful number, since it uses less digits than its factorization.

159952279760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 62.

The spelling of 159952279760 in words is "one hundred fifty-nine billion, nine hundred fifty-two million, two hundred seventy-nine thousand, seven hundred sixty".