250122116160 has 1232 divisors, whose sum is σ = 1071242959872. Its totient is φ = 54419558400.

The previous prime is 250122116143. The next prime is 250122116173. The reversal of 250122116160 is 61611221052.

250122116160 is a `hidden beast` number, since 25 + 0 + 1 + 2 + 21 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×250122116160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 4100362530 + ... + 4100362590.

Almost surely, 2^250122116160 is an apocalyptic number.

250122116160 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 250122116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535621479936).

250122116160 is an abundant number, since it is smaller than the sum of its proper divisors (821120843712).

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

250122116160 is an frugal number, since it uses more digits than its factorization.

250122116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 250122116160 in words is "two hundred fifty billion, one hundred twenty-two million, one hundred sixteen thousand, one hundred sixty".