505387965600 has 1440 divisors, whose sum is σ = 2199155245056. Its totient is φ = 110518732800.

The previous prime is 505387965559. The next prime is 505387965697. The reversal of 505387965600 is 6569783505.

505387965600 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 8 + 79 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1785823059 + ... + 1785823341.

Almost surely, 2^505387965600 is an apocalyptic number.

505387965600 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 505387965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099577622528).

505387965600 is an abundant number, since it is smaller than the sum of its proper divisors (1693767279456).

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

505387965600 is a wasteful number, since it uses less digits than its factorization.

505387965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 505387965600 in words is "five hundred five billion, three hundred eighty-seven million, nine hundred sixty-five thousand, six hundred".