250420384468800 has 6048 divisors, whose sum is σ = 1235532760425600. Its totient is φ = 49369423380480.

The previous prime is 250420384468789. The next prime is 250420384468801. The reversal of 250420384468800 is 8864483024052.

250420384468800 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 20 + 3 + 84 + 468 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (250420384468801) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 3430416225564 + ... + 3430416225636.

Almost surely, 2^{250420384468800} is an apocalyptic number.

250420384468800 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 250420384468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617766380212800).

250420384468800 is an abundant number, since it is smaller than the sum of its proper divisors (985112375956800).

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

250420384468800 is an equidigital number, since it uses as much as digits as its factorization.

250420384468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 250420384468800 in words is "two hundred fifty trillion, four hundred twenty billion, three hundred eighty-four million, four hundred sixty-eight thousand, eight hundred".