506038104000 has 2240 divisors, whose sum is σ = 2268222308352. Its totient is φ = 109734912000.

The previous prime is 506038103971. The next prime is 506038104071. The reversal of 506038104000 is 401830605.

506038104000 is a `hidden beast` number, since 5 + 0 + 603 + 8 + 10 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3984551937 + ... + 3984552063.

Almost surely, 2^506038104000 is an apocalyptic number.

506038104000 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 506038104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134111154176).

506038104000 is an abundant number, since it is smaller than the sum of its proper divisors (1762184204352).

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

506038104000 is a wasteful number, since it uses less digits than its factorization.

506038104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 506038104000 its reverse (401830605), we get a palindrome (506439934605).

The spelling of 506038104000 in words is "five hundred six billion, thirty-eight million, one hundred four thousand".