501505400000 has 672 divisors, whose sum is σ = 1430515816128. Its totient is φ = 172800000000.

The previous prime is 501505399979. The next prime is 501505400063. The reversal of 501505400000 is 4505105.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4965399950 + ... + 4965400050.

It is an arithmetic number, because the mean of its divisors is an integer number (2128743774).

Almost surely, 2^501505400000 is an apocalyptic number.

501505400000 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 501505400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715257908064).

501505400000 is an abundant number, since it is smaller than the sum of its proper divisors (929010416128).

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

501505400000 is a wasteful number, since it uses less digits than its factorization.

501505400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 501505400000 its reverse (4505105), we get a palindrome (501509905105).

The spelling of 501505400000 in words is "five hundred one billion, five hundred five million, four hundred thousand".