503242105102000 has 640 divisors, whose sum is σ = 1387045798744320. Its totient is φ = 176372883456000.

The previous prime is 503242105101937. The next prime is 503242105102043. The reversal of 503242105102000 is 201501242305.

It is a super-3 number, since 3×503242105102000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45778408504 + ... + 45778419496.

It is an arithmetic number, because the mean of its divisors is an integer number (2167259060538).

Almost surely, 2^{503242105102000} is an apocalyptic number.

503242105102000 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 503242105102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693522899372160).

503242105102000 is an abundant number, since it is smaller than the sum of its proper divisors (883803693642320).

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

503242105102000 is a wasteful number, since it uses less digits than its factorization.

503242105102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11671 (or 11633 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 503242105102000 its reverse (201501242305), we get a palindrome (503443606344305).

The spelling of 503242105102000 in words is "five hundred three trillion, two hundred forty-two billion, one hundred five million, one hundred two thousand".