159107084352 has 504 divisors, whose sum is σ = 518319959040. Its totient is φ = 48238571520.

The previous prime is 159107084333. The next prime is 159107084363. The reversal of 159107084352 is 253480701951.

159107084352 is a `hidden beast` number, since 1 + 591 + 0 + 7 + 0 + 8 + 4 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 159107084298 and 159107084307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221289049 + ... + 221289767.

Almost surely, 2^159107084352 is an apocalyptic number.

159107084352 is a gapful number since it is divisible by the number (12) 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 159107084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259159979520).

159107084352 is an abundant number, since it is smaller than the sum of its proper divisors (359212874688).

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

159107084352 is an frugal number, since it uses more digits than its factorization.

159107084352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 159107084352 in words is "one hundred fifty-nine billion, one hundred seven million, eighty-four thousand, three hundred fifty-two".