250056104145120 has 1728 divisors, whose sum is σ = 1104077296405440. Its totient is φ = 52392198684672.

The previous prime is 250056104145061. The next prime is 250056104145131. The reversal of 250056104145120 is 21541401650052.

250056104145120 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 5 + 610 + 4 + 14 + 5 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61093597794 + ... + 61093601886.

It is an arithmetic number, because the mean of its divisors is an integer number (638933620605).

Almost surely, 2^{250056104145120} is an apocalyptic number.

250056104145120 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 250056104145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552038648202720).

250056104145120 is an abundant number, since it is smaller than the sum of its proper divisors (854021192260320).

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

250056104145120 is a wasteful number, since it uses less digits than its factorization.

250056104145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 250056104145120 its reverse (21541401650052), we get a palindrome (271597505795172).

The spelling of 250056104145120 in words is "two hundred fifty trillion, fifty-six billion, one hundred four million, one hundred forty-five thousand, one hundred twenty".