425953487232000 has 2112 divisors, whose sum is σ = 1950130706055168. Its totient is φ = 86971760640000.

The previous prime is 425953487231977. The next prime is 425953487232037. The reversal of 425953487232000 is 232784359524.

425953487232000 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 534 + 8 + 72 + 32 + 0 + 0 + 0 = 666.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3249726465 + ... + 3249857535.

Almost surely, 2^{425953487232000} is an apocalyptic number.

425953487232000 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 425953487232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975065353027584).

425953487232000 is an abundant number, since it is smaller than the sum of its proper divisors (1524177218823168).

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

425953487232000 is a wasteful number, since it uses less digits than its factorization.

425953487232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131163 (or 131132 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 425953487232000 in words is "four hundred twenty-five trillion, nine hundred fifty-three billion, four hundred eighty-seven million, two hundred thirty-two thousand".