505496902656000 has 896 divisors, whose sum is σ = 1720261629425664. Its totient is φ = 131756143411200.

The previous prime is 505496902655981. The next prime is 505496902656061. The reversal of 505496902656000 is 656209694505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136731646152 + ... + 136731649848.

Almost surely, 2^{505496902656000} is an apocalyptic number.

505496902656000 is a gapful number since it is divisible by the number (50) 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 505496902656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860130814712832).

505496902656000 is an abundant number, since it is smaller than the sum of its proper divisors (1214764726769664).

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

505496902656000 is an equidigital number, since it uses as much as digits as its factorization.

505496902656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 57.

The spelling of 505496902656000 in words is "five hundred five trillion, four hundred ninety-six billion, nine hundred two million, six hundred fifty-six thousand".