505152863280 has 240 divisors, whose sum is σ = 1856921941056. Its totient is φ = 122306734080.

The previous prime is 505152863209. The next prime is 505152863291. The reversal of 505152863280 is 82368251505.

505152863280 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 5 + 2 + 8 + 632 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128589 + ... + 1013331.

Almost surely, 2^505152863280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505152863280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928460970528).

505152863280 is an abundant number, since it is smaller than the sum of its proper divisors (1351769077776).

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

505152863280 is a wasteful number, since it uses less digits than its factorization.

505152863280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884836 (or 884827 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 505152863280 in words is "five hundred five billion, one hundred fifty-two million, eight hundred sixty-three thousand, two hundred eighty".