482055629045760 has 5120 divisors, whose sum is σ = 2334355448832000. Its totient is φ = 92082756648960.

The previous prime is 482055629045701. The next prime is 482055629045791. The reversal of 482055629045760 is 67540926550284.

482055629045760 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 5 + 56 + 2 + 9 + 0 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11210596024299 + ... + 11210596024341.

It is an arithmetic number, because the mean of its divisors is an integer number (455928798600).

Almost surely, 2^{482055629045760} is an apocalyptic number.

482055629045760 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 482055629045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167177724416000).

482055629045760 is an abundant number, since it is smaller than the sum of its proper divisors (1852299819786240).

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

482055629045760 is an frugal number, since it uses more digits than its factorization.

482055629045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 482055629045760 in words is "four hundred eighty-two trillion, fifty-five billion, six hundred twenty-nine million, forty-five thousand, seven hundred sixty".