480103926382080 has 17280 divisors, whose sum is σ = 2731714319093760. Its totient is φ = 79460617420800.

The previous prime is 480103926382039. The next prime is 480103926382147. The reversal of 480103926382080 is 80283629301084.

480103926382080 is a `hidden beast` number, since 4 + 8 + 0 + 10 + 392 + 6 + 38 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (17280).

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 1727 ways as a sum of consecutive naturals, for example, 15487223431665 + ... + 15487223431695.

It is an arithmetic number, because the mean of its divisors is an integer number (158085319392).

Almost surely, 2^{480103926382080} is an apocalyptic number.

480103926382080 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 480103926382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365857159546880).

480103926382080 is an abundant number, since it is smaller than the sum of its proper divisors (2251610392711680).

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

480103926382080 is a wasteful number, since it uses less digits than its factorization.

480103926382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 480103926382080 in words is "four hundred eighty trillion, one hundred three billion, nine hundred twenty-six million, three hundred eighty-two thousand, eighty".