160506501100560 has 960 divisors, whose sum is σ = 600380167495680. Its totient is φ = 38261184675840.

The previous prime is 160506501100559. The next prime is 160506501100571. The reversal of 160506501100560 is 65001105605061.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10813608499 + ... + 10813623341.

It is an arithmetic number, because the mean of its divisors is an integer number (625396007808).

Almost surely, 2^{160506501100560} is an apocalyptic number.

160506501100560 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 160506501100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300190083747840).

160506501100560 is an abundant number, since it is smaller than the sum of its proper divisors (439873666395120).

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

160506501100560 is a wasteful number, since it uses less digits than its factorization.

160506501100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15548 (or 15539 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 160506501100560 in words is "one hundred sixty trillion, five hundred six billion, five hundred one million, one hundred thousand, five hundred sixty".