482523075064800 has 8100 divisors, whose sum is σ = 2414959409221128. Its totient is φ = 93649602816000.

The previous prime is 482523075064787. The next prime is 482523075064883. The reversal of 482523075064800 is 8460570325284.

482523075064800 is a `hidden beast` number, since 4 + 8 + 2 + 52 + 3 + 0 + 7 + 506 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1349 ways as a sum of consecutive naturals, for example, 6796099648765 + ... + 6796099648835.

Almost surely, 2^{482523075064800} is an apocalyptic number.

482523075064800 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 482523075064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207479704610564).

482523075064800 is an abundant number, since it is smaller than the sum of its proper divisors (1932436334156328).

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

482523075064800 is a wasteful number, since it uses less digits than its factorization.

482523075064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 482523075064800 in words is "four hundred eighty-two trillion, five hundred twenty-three billion, seventy-five million, sixty-four thousand, eight hundred".