505204480059600 has 480 divisors, whose sum is σ = 1683468593971200. Its totient is φ = 129370439116800.

The previous prime is 505204480059593. The next prime is 505204480059647. The reversal of 505204480059600 is 6950084402505.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 505204480059600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2515996006 + ... + 2516196794.

It is an arithmetic number, because the mean of its divisors is an integer number (3507226237440).

Almost surely, 2^{505204480059600} is an apocalyptic number.

505204480059600 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 505204480059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841734296985600).

505204480059600 is an abundant number, since it is smaller than the sum of its proper divisors (1178264113911600).

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

505204480059600 is a wasteful number, since it uses less digits than its factorization.

505204480059600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201363 (or 201352 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 505204480059600 in words is "five hundred five trillion, two hundred four billion, four hundred eighty million, fifty-nine thousand, six hundred".