425782123200 has 1008 divisors, whose sum is σ = 1806550087680. Its totient is φ = 93063168000.

The previous prime is 425782123177. The next prime is 425782123219. The reversal of 425782123200 is 2321287524.

425782123200 is a `hidden beast` number, since 4 + 257 + 82 + 1 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278106435 + ... + 278107965.

Almost surely, 2^425782123200 is an apocalyptic number.

425782123200 is a gapful number since it is divisible by the number (40) 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 425782123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903275043840).

425782123200 is an abundant number, since it is smaller than the sum of its proper divisors (1380767964480).

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

425782123200 is a wasteful number, since it uses less digits than its factorization.

425782123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 425782123200 in words is "four hundred twenty-five billion, seven hundred eighty-two million, one hundred twenty-three thousand, two hundred".