159167877120 has 728 divisors, whose sum is σ = 654912518976. Its totient is φ = 36357341184.

The previous prime is 159167877103. The next prime is 159167877139. The reversal of 159167877120 is 21778761951.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104508679 + ... + 104510201.

Almost surely, 2^159167877120 is an apocalyptic number.

159167877120 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 159167877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327456259488).

159167877120 is an abundant number, since it is smaller than the sum of its proper divisors (495744641856).

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

159167877120 is an frugal number, since it uses more digits than its factorization.

159167877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 54.

The spelling of 159167877120 in words is "one hundred fifty-nine billion, one hundred sixty-seven million, eight hundred seventy-seven thousand, one hundred twenty".