505270483200 has 1188 divisors, whose sum is σ = 2155138395648. Its totient is φ = 114885734400.

The previous prime is 505270483187. The next prime is 505270483231. The reversal of 505270483200 is 2384072505.

505270483200 is a `hidden beast` number, since 50 + 527 + 0 + 4 + 83 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×505270483200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 2645395105 + ... + 2645395295.

Almost surely, 2^505270483200 is an apocalyptic number.

505270483200 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 505270483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077569197824).

505270483200 is an abundant number, since it is smaller than the sum of its proper divisors (1649867912448).

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

505270483200 is an frugal number, since it uses more digits than its factorization.

505270483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 505270483200 in words is "five hundred five billion, two hundred seventy million, four hundred eighty-three thousand, two hundred".