160829628960 has 384 divisors, whose sum is σ = 680210141184. Its totient is φ = 30848348160.

The previous prime is 160829628887. The next prime is 160829628977. The reversal of 160829628960 is 69826928061.

It is a super-2 number, since 2×160829628960² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 160829628960.

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, 313117 + ... + 647843.

It is an arithmetic number, because the mean of its divisors is an integer number (1771380576).

Almost surely, 2^160829628960 is an apocalyptic number.

160829628960 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 160829628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340105070592).

160829628960 is an abundant number, since it is smaller than the sum of its proper divisors (519380512224).

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

160829628960 is a wasteful number, since it uses less digits than its factorization.

160829628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334776 (or 334768 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 160829628960 in words is "one hundred sixty billion, eight hundred twenty-nine million, six hundred twenty-eight thousand, nine hundred sixty".