482157912960000 has 3520 divisors, whose sum is σ = 1932690960921600. Its totient is φ = 118400679936000.

The previous prime is 482157912959951. The next prime is 482157912960001. The reversal of 482157912960000 is 69219751284.

It is a happy number.

482157912960000 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 5 + 7 + 9 + 1 + 29 + 600 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (482157912960001) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 1521002879842 + ... + 1521002880158.

It is an arithmetic number, because the mean of its divisors is an integer number (549059932080).

Almost surely, 2^{482157912960000} is an apocalyptic number.

482157912960000 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 482157912960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966345480460800).

482157912960000 is an abundant number, since it is smaller than the sum of its proper divisors (1450533047961600).

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

482157912960000 is a wasteful number, since it uses less digits than its factorization.

482157912960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 482157912960000 in words is "four hundred eighty-two trillion, one hundred fifty-seven billion, nine hundred twelve million, nine hundred sixty thousand".