159048077760 has 672 divisors, whose sum is σ = 680534592192. Its totient is φ = 33496104960.

The previous prime is 159048077701. The next prime is 159048077767. The reversal of 159048077760 is 67770840951.

159048077760 is a `hidden beast` number, since 1 + 5 + 90 + 480 + 7 + 7 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 159048077697 and 159048077706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159048077767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6989922 + ... + 7012638.

It is an arithmetic number, because the mean of its divisors is an integer number (1012700286).

Almost surely, 2^159048077760 is an apocalyptic number.

159048077760 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 159048077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340267296096).

159048077760 is an abundant number, since it is smaller than the sum of its proper divisors (521486514432).

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

159048077760 is a wasteful number, since it uses less digits than its factorization.

159048077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22781 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 159048077760 in words is "one hundred fifty-nine billion, forty-eight million, seventy-seven thousand, seven hundred sixty".