160251955200 has 720 divisors, whose sum is σ = 628729641540. Its totient is φ = 40202403840.

The previous prime is 160251955177. The next prime is 160251955207. The reversal of 160251955200 is 2559152061.

It can be written as a sum of positive squares in 6 ways, for example, as 115687056384 + 44564898816 = 340128^2 + 211104^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (160251955207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70501264 + ... + 70503536.

Almost surely, 2^160251955200 is an apocalyptic number.

160251955200 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 160251955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314364820770).

160251955200 is an abundant number, since it is smaller than the sum of its proper divisors (468477686340).

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

160251955200 is a wasteful number, since it uses less digits than its factorization.

160251955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 160251955200 in words is "one hundred sixty billion, two hundred fifty-one million, nine hundred fifty-five thousand, two hundred".