160965812102400 has 324 divisors, whose sum is σ = 576255559297600. Its totient is φ = 42867048960000.

The previous prime is 160965812102393. The next prime is 160965812102401. The reversal of 160965812102400 is 4201218569061.

160965812102400 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 6 + 581 + 21 + 0 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160965812102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41397051 + ... + 45118149.

Almost surely, 2^{160965812102400} is an apocalyptic number.

160965812102400 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 160965812102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288127779648800).

160965812102400 is an abundant number, since it is smaller than the sum of its proper divisors (415289747195200).

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

160965812102400 is a wasteful number, since it uses less digits than its factorization.

160965812102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721882 (or 3721860 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 160965812102400 in words is "one hundred sixty trillion, nine hundred sixty-five billion, eight hundred twelve million, one hundred two thousand, four hundred".