160680083200 has 432 divisors, whose sum is σ = 518312450880. Its totient is φ = 47858319360.

The previous prime is 160680083171. The next prime is 160680083233. The reversal of 160680083200 is 2380086061.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 9892686 + ... + 9908914.

It is an arithmetic number, because the mean of its divisors is an integer number (1199797340).

Almost surely, 2^160680083200 is an apocalyptic number.

160680083200 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 160680083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259156225440).

160680083200 is an abundant number, since it is smaller than the sum of its proper divisors (357632367680).

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

160680083200 is a wasteful number, since it uses less digits than its factorization.

160680083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16292 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

It can be divided in two parts, 1606800 and 83200, that added together give a square (1690000 = 1300²).

The spelling of 160680083200 in words is "one hundred sixty billion, six hundred eighty million, eighty-three thousand, two hundred".