506105400000 has 672 divisors, whose sum is σ = 1734962955264. Its totient is φ = 130124800000.

The previous prime is 506105399981. The next prime is 506105400049. The reversal of 506105400000 is 4501605.

It is a happy number.

506105400000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×506105400000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506105400000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3694199932 + ... + 3694200068.

It is an arithmetic number, because the mean of its divisors is an integer number (2581790112).

Almost surely, 2^506105400000 is an apocalyptic number.

506105400000 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 506105400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867481477632).

506105400000 is an abundant number, since it is smaller than the sum of its proper divisors (1228857555264).

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

506105400000 is a wasteful number, since it uses less digits than its factorization.

506105400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 506105400000 its reverse (4501605), we get a palindrome (506109901605).

The spelling of 506105400000 in words is "five hundred six billion, one hundred five million, four hundred thousand".