10045524124020 has 384 divisors, whose sum is σ = 35460169113600. Its totient is φ = 2064115353600.

The previous prime is 10045524124001. The next prime is 10045524124043. The reversal of 10045524124020 is 2042142554001.

10045524124020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 256302625 + ... + 256341815.

It is an arithmetic number, because the mean of its divisors is an integer number (92344190400).

Almost surely, 2^{10045524124020} is an apocalyptic number.

10045524124020 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 10045524124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730084556800).

10045524124020 is an abundant number, since it is smaller than the sum of its proper divisors (25414644989580).

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

10045524124020 is a wasteful number, since it uses less digits than its factorization.

10045524124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39839 (or 39837 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 10045524124020 its reverse (2042142554001), we get a palindrome (12087666678021).

The spelling of 10045524124020 in words is "ten trillion, forty-five billion, five hundred twenty-four million, one hundred twenty-four thousand, twenty".