425735259955200 has 4032 divisors, whose sum is σ = 1792635996453120. Its totient is φ = 95643217428480.

The previous prime is 425735259955199. The next prime is 425735259955207. The reversal of 425735259955200 is 2559952537524.

425735259955200 is a `hidden beast` number, since 4 + 2 + 5 + 7 + 3 + 52 + 59 + 9 + 5 + 520 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (425735259955207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3062843596731 + ... + 3062843596869.

It is an arithmetic number, because the mean of its divisors is an integer number (444602181660).

Almost surely, 2^{425735259955200} is an apocalyptic number.

425735259955200 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 425735259955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896317998226560).

425735259955200 is an abundant number, since it is smaller than the sum of its proper divisors (1366900736497920).

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

425735259955200 is a wasteful number, since it uses less digits than its factorization.

425735259955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 170100000, while the sum is 63.

The spelling of 425735259955200 in words is "four hundred twenty-five trillion, seven hundred thirty-five billion, two hundred fifty-nine million, nine hundred fifty-five thousand, two hundred".