505574784000 has 2640 divisors, whose sum is σ = 2302276424448. Its totient is φ = 109486080000.

The previous prime is 505574783999. The next prime is 505574784017. The reversal of 505574784000 is 487475505.

505574784000 is a `hidden beast` number, since 5 + 0 + 5 + 574 + 78 + 4 + 0 + 0 + 0 = 666.

505574784000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is a congruent number.

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, 16308863985 + ... + 16308864015.

Almost surely, 2^505574784000 is an apocalyptic number.

505574784000 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 505574784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151138212224).

505574784000 is an abundant number, since it is smaller than the sum of its proper divisors (1796701640448).

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

505574784000 is a wasteful number, since it uses less digits than its factorization.

505574784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 505574784000 in words is "five hundred five billion, five hundred seventy-four million, seven hundred eighty-four thousand".