159279756480 has 448 divisors, whose sum is σ = 640730321280. Its totient is φ = 36900569088.

The previous prime is 159279756479. The next prime is 159279756481. The reversal of 159279756480 is 84657972951.

159279756480 is a `hidden beast` number, since 15 + 9 + 2 + 7 + 97 + 56 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (159279756479) and next prime (159279756481).

It is not an unprimeable number, because it can be changed into a prime (159279756481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1867732 + ... + 1951148.

It is an arithmetic number, because the mean of its divisors is an integer number (1430201610).

Almost surely, 2^159279756480 is an apocalyptic number.

159279756480 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 159279756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320365160640).

159279756480 is an abundant number, since it is smaller than the sum of its proper divisors (481450564800).

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

159279756480 is a wasteful number, since it uses less digits than its factorization.

159279756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83473 (or 83457 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 159279756480 in words is "one hundred fifty-nine billion, two hundred seventy-nine million, seven hundred fifty-six thousand, four hundred eighty".