160712017920 has 768 divisors, whose sum is σ = 603832320000. Its totient is φ = 40466055168.

The previous prime is 160712017889. The next prime is 160712017931. The reversal of 160712017920 is 29710217061.

It is a happy number.

160712017920 is a `hidden beast` number, since 1 + 607 + 1 + 20 + 1 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×160712017920² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 807597981 + ... + 807598179.

It is an arithmetic number, because the mean of its divisors is an integer number (786240000).

Almost surely, 2^160712017920 is an apocalyptic number.

160712017920 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 160712017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301916160000).

160712017920 is an abundant number, since it is smaller than the sum of its proper divisors (443120302080).

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

160712017920 is a wasteful number, since it uses less digits than its factorization.

160712017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 160712017920 in words is "one hundred sixty billion, seven hundred twelve million, seventeen thousand, nine hundred twenty".