486050140085760 has 480 divisors, whose sum is σ = 1737818680485888. Its totient is φ = 125418620436480.

The previous prime is 486050140085701. The next prime is 486050140085803. The reversal of 486050140085760 is 67580041050684.

486050140085760 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 50 + 14 + 0 + 0 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 486050140085697 and 486050140085706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7658763789 + ... + 7658827251.

Almost surely, 2^{486050140085760} is an apocalyptic number.

486050140085760 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 486050140085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868909340242944).

486050140085760 is an abundant number, since it is smaller than the sum of its proper divisors (1251768540400128).

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

486050140085760 is a wasteful number, since it uses less digits than its factorization.

486050140085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74246 (or 74227 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 486050140085760 in words is "four hundred eighty-six trillion, fifty billion, one hundred forty million, eighty-five thousand, seven hundred sixty".