480539496160080 has 640 divisors, whose sum is σ = 1953227853987840. Its totient is φ = 106263998392320.

The previous prime is 480539496159973. The next prime is 480539496160133. The reversal of 480539496160080 is 80061694935084.

480539496160080 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 3 + 9 + 4 + 9 + 616 + 0 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1655842669 + ... + 1656132851.

It is an arithmetic number, because the mean of its divisors is an integer number (3051918521856).

Almost surely, 2^{480539496160080} is an apocalyptic number.

480539496160080 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 480539496160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976613926993920).

480539496160080 is an abundant number, since it is smaller than the sum of its proper divisors (1472688357827760).

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

480539496160080 is a wasteful number, since it uses less digits than its factorization.

480539496160080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293776 (or 293764 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 480539496160080 in words is "four hundred eighty trillion, five hundred thirty-nine billion, four hundred ninety-six million, one hundred sixty thousand, eighty".