160268523631200 has 1152 divisors, whose sum is σ = 637734462382080. Its totient is φ = 38668492800000.

The previous prime is 160268523631163. The next prime is 160268523631213. The reversal of 160268523631200 is 2136325862061.

160268523631200 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 6 + 8 + 5 + 2 + 3 + 631 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×160268523631200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1718816580 + ... + 1718909820.

It is an arithmetic number, because the mean of its divisors is an integer number (553588943040).

Almost surely, 2^{160268523631200} is an apocalyptic number.

160268523631200 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 160268523631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318867231191040).

160268523631200 is an abundant number, since it is smaller than the sum of its proper divisors (477465938750880).

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

160268523631200 is a wasteful number, since it uses less digits than its factorization.

160268523631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93469 (or 93450 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 160268523631200 in words is "one hundred sixty trillion, two hundred sixty-eight billion, five hundred twenty-three million, six hundred thirty-one thousand, two hundred".