10506053019024 has 120 divisors (see below), whose sum is σ = 30950876829600. Its totient is φ = 3317590794240.

The previous prime is 10506053019013. The next prime is 10506053019029. The reversal of 10506053019024 is 42091035060501.

10506053019024 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 605 + 30 + 19 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×10506053019024² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10506053019024.

It is not an unprimeable number, because it can be changed into a prime (10506053019029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133419984 + ... + 133498704.

It is an arithmetic number, because the mean of its divisors is an integer number (257923973580).

Almost surely, 2^{10506053019024} is an apocalyptic number.

It is an amenable number.

10506053019024 is an abundant number, since it is smaller than the sum of its proper divisors (20444823810576).

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

10506053019024 is a wasteful number, since it uses less digits than its factorization.

10506053019024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127533 (or 127524 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 10506053019024 its reverse (42091035060501), we get a palindrome (52597088079525).

The spelling of 10506053019024 in words is "ten trillion, five hundred six billion, fifty-three million, nineteen thousand, twenty-four".