506776780800 has 552 divisors, whose sum is σ = 1872337082400. Its totient is φ = 134385500160.

The previous prime is 506776780781. The next prime is 506776780813. The reversal of 506776780800 is 8087677605.

506776780800 is a `hidden beast` number, since 506 + 77 + 67 + 8 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×506776780800² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2831155111 + ... + 2831155289.

Almost surely, 2^506776780800 is an apocalyptic number.

506776780800 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 506776780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936168541200).

506776780800 is an abundant number, since it is smaller than the sum of its proper divisors (1365560301600).

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

506776780800 is an frugal number, since it uses more digits than its factorization.

506776780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 506776780800 in words is "five hundred six billion, seven hundred seventy-six million, seven hundred eighty thousand, eight hundred".