505052800000 has 396 divisors, whose sum is σ = 1468420616628. Its totient is φ = 173107200000.

The previous prime is 505052799913. The next prime is 505052800013. The reversal of 505052800000 is 8250505.

It can be written as a sum of positive squares in 6 ways, for example, as 356093853696 + 148958946304 = 596736^2 + 385952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156798390 + ... + 156801610.

Almost surely, 2^505052800000 is an apocalyptic number.

505052800000 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 505052800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734210308314).

505052800000 is an abundant number, since it is smaller than the sum of its proper divisors (963367816628).

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

505052800000 is an frugal number, since it uses more digits than its factorization.

505052800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 505052800000 in words is "five hundred five billion, fifty-two million, eight hundred thousand".