159713749278720 has 5376 divisors, whose sum is σ = 765914361569280. Its totient is φ = 30792549924864.

The previous prime is 159713749278709. The next prime is 159713749278739. The reversal of 159713749278720 is 27872947317951.

159713749278720 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 1 + 37 + 492 + 7 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 956369756077 + ... + 956369756243.

It is an arithmetic number, because the mean of its divisors is an integer number (142469189280).

Almost surely, 2^{159713749278720} is an apocalyptic number.

159713749278720 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 159713749278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382957180784640).

159713749278720 is an abundant number, since it is smaller than the sum of its proper divisors (606200612290560).

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

159713749278720 is a wasteful number, since it uses less digits than its factorization.

159713749278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 159713749278720 in words is "one hundred fifty-nine trillion, seven hundred thirteen billion, seven hundred forty-nine million, two hundred seventy-eight thousand, seven hundred twenty".