250161120 has 288 divisors, whose sum is σ = 987124320. Its totient is φ = 57016320.

The previous prime is 250161101. The next prime is 250161127. The reversal of 250161120 is 21161052.

250161120 is a `hidden beast` number, since 2 + 50 + 1 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 250161093 and 250161102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250161127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268816 + ... + 269744.

It is an arithmetic number, because the mean of its divisors is an integer number (3427515).

Almost surely, 2^250161120 is an apocalyptic number.

250161120 is a gapful number since it is divisible by the number (20) 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 250161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493562160).

250161120 is an abundant number, since it is smaller than the sum of its proper divisors (736963200).

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

250161120 is a wasteful number, since it uses less digits than its factorization.

250161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 250161120 is about 15816.4825419560. The cubic root of 250161120 is about 630.0958282046.

The spelling of 250161120 in words is "two hundred fifty million, one hundred sixty-one thousand, one hundred twenty".