159829770240 has 1440 divisors, whose sum is σ = 696166109184. Its totient is φ = 34398535680.

The previous prime is 159829770181. The next prime is 159829770251. The reversal of 159829770240 is 42077928951.

159829770240 is a `hidden beast` number, since 1 + 598 + 2 + 9 + 7 + 7 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 95 ways as a sum of consecutive naturals, for example, 4319723502 + ... + 4319723538.

Almost surely, 2^159829770240 is an apocalyptic number.

159829770240 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 159829770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348083054592).

159829770240 is an abundant number, since it is smaller than the sum of its proper divisors (536336338944).

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

159829770240 is an frugal number, since it uses more digits than its factorization.

159829770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 159829770240 in words is "one hundred fifty-nine billion, eight hundred twenty-nine million, seven hundred seventy thousand, two hundred forty".