10350505424000 has 512 divisors, whose sum is σ = 29842255872000. Its totient is φ = 3496800153600.

The previous prime is 10350505423987. The next prime is 10350505424027. The reversal of 10350505424000 is 42450505301.

It is a super-3 number, since 3×10350505424000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6361711187 + ... + 6361712813.

It is an arithmetic number, because the mean of its divisors is an integer number (58285656000).

Almost surely, 2^{10350505424000} is an apocalyptic number.

10350505424000 is a gapful number since it is divisible by the number (10) 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 10350505424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14921127936000).

10350505424000 is an abundant number, since it is smaller than the sum of its proper divisors (19491750448000).

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

10350505424000 is an equidigital number, since it uses as much as digits as its factorization.

10350505424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 10350505424000 its reverse (42450505301), we get a palindrome (10392955929301).

The spelling of 10350505424000 in words is "ten trillion, three hundred fifty billion, five hundred five million, four hundred twenty-four thousand".