485188758810756 has 5376 divisors, whose sum is σ = 1943130909081600. Its totient is φ = 101873413324800.

The previous prime is 485188758810731. The next prime is 485188758810827. The reversal of 485188758810756 is 657018857881584.

485188758810756 is a `hidden beast` number, since 4 + 8 + 5 + 18 + 8 + 7 + 588 + 10 + 7 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 1791 ways as a sum of consecutive naturals, for example, 6141629858325 + ... + 6141629858403.

It is an arithmetic number, because the mean of its divisors is an integer number (361445481600).

Almost surely, 2^{485188758810756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485188758810756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971565454540800).

485188758810756 is an abundant number, since it is smaller than the sum of its proper divisors (1457942150270844).

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

485188758810756 is a wasteful number, since it uses less digits than its factorization.

485188758810756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4816896000, while the sum is 81.

The spelling of 485188758810756 in words is "four hundred eighty-five trillion, one hundred eighty-eight billion, seven hundred fifty-eight million, eight hundred ten thousand, seven hundred fifty-six".