160083792000 has 384 divisors, whose sum is σ = 627170843520. Its totient is φ = 38807808000.

The previous prime is 160083791977. The next prime is 160083792017. The reversal of 160083792000 is 297380061.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×160083792000² (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 47 ways as a sum of consecutive naturals, for example, 1533469 + ... + 1634531.

It is an arithmetic number, because the mean of its divisors is an integer number (1633257405).

Almost surely, 2^160083792000 is an apocalyptic number.

160083792000 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 160083792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313585421760).

160083792000 is an abundant number, since it is smaller than the sum of its proper divisors (467087051520).

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

160083792000 is a wasteful number, since it uses less digits than its factorization.

160083792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101109 (or 101084 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 160083792000 in words is "one hundred sixty billion, eighty-three million, seven hundred ninety-two thousand".