505253376000 has 1248 divisors, whose sum is σ = 1964657350656. Its totient is φ = 129392640000.

The previous prime is 505253375959. The next prime is 505253376007. The reversal of 505253376000 is 673352505.

505253376000 is a `hidden beast` number, since 5 + 0 + 52 + 533 + 76 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (505253376007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3856895935 + ... + 3856896065.

It is an arithmetic number, because the mean of its divisors is an integer number (1574244672).

Almost surely, 2^505253376000 is an apocalyptic number.

505253376000 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 505253376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982328675328).

505253376000 is an abundant number, since it is smaller than the sum of its proper divisors (1459403974656).

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

505253376000 is an equidigital number, since it uses as much as digits as its factorization.

505253376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The spelling of 505253376000 in words is "five hundred five billion, two hundred fifty-three million, three hundred seventy-six thousand".