160964169600 has 384 divisors, whose sum is σ = 601017782400. Its totient is φ = 37536030720.

The previous prime is 160964169599. The next prime is 160964169617. The reversal of 160964169600 is 6961469061.

160964169600 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 160964169600.

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, 2337259 + ... + 2405141.

It is an arithmetic number, because the mean of its divisors is an integer number (1565150475).

Almost surely, 2^160964169600 is an apocalyptic number.

160964169600 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 160964169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300508891200).

160964169600 is an abundant number, since it is smaller than the sum of its proper divisors (440053612800).

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

160964169600 is a wasteful number, since it uses less digits than its factorization.

160964169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67942 (or 67925 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 160964169600 in words is "one hundred sixty billion, nine hundred sixty-four million, one hundred sixty-nine thousand, six hundred".