160953232053120 has 768 divisors, whose sum is σ = 569524388716800. Its totient is φ = 38625301757952.

The previous prime is 160953232053001. The next prime is 160953232053169. The reversal of 160953232053120 is 21350232359061.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7632083536 + ... + 7632104624.

It is an arithmetic number, because the mean of its divisors is an integer number (741568214475).

Almost surely, 2^{160953232053120} is an apocalyptic number.

160953232053120 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 160953232053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284762194358400).

160953232053120 is an abundant number, since it is smaller than the sum of its proper divisors (408571156663680).

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

160953232053120 is a wasteful number, since it uses less digits than its factorization.

160953232053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21727 (or 21702 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 160953232053120 in words is "one hundred sixty trillion, nine hundred fifty-three billion, two hundred thirty-two million, fifty-three thousand, one hundred twenty".