480506828653152 has 1440 divisors, whose sum is σ = 1751864925888000. Its totient is φ = 128456158279680.

The previous prime is 480506828653031. The next prime is 480506828653169. The reversal of 480506828653152 is 251356828605084.

480506828653152 is a `hidden beast` number, since 4 + 8 + 0 + 506 + 8 + 28 + 6 + 53 + 1 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480506828653152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 87064108249 + ... + 87064113767.

It is an arithmetic number, because the mean of its divisors is an integer number (1216572865200).

Almost surely, 2^{480506828653152} is an apocalyptic number.

480506828653152 is a gapful number since it is divisible by the number (42) 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 480506828653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875932462944000).

480506828653152 is an abundant number, since it is smaller than the sum of its proper divisors (1271358097234848).

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

480506828653152 is a wasteful number, since it uses less digits than its factorization.

480506828653152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014 (or 5990 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 480506828653152 in words is "four hundred eighty trillion, five hundred six billion, eight hundred twenty-eight million, six hundred fifty-three thousand, one hundred fifty-two".