10005153541020 has 768 divisors, whose sum is σ = 35551603261440. Its totient is φ = 2314034611200.

The previous prime is 10005153541001. The next prime is 10005153541037. The reversal of 10005153541020 is 2014535150001.

10005153541020 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 51 + 53 + 541 + 0 + 20 = 666.

10005153541020 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4472575342 + ... + 4472577578.

It is an arithmetic number, because the mean of its divisors is an integer number (46291150080).

Almost surely, 2^{10005153541020} is an apocalyptic number.

10005153541020 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 10005153541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775801630720).

10005153541020 is an abundant number, since it is smaller than the sum of its proper divisors (25546449720420).

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

10005153541020 is a wasteful number, since it uses less digits than its factorization.

10005153541020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10005153541020 its reverse (2014535150001), we get a palindrome (12019688691021).

The spelling of 10005153541020 in words is "ten trillion, five billion, one hundred fifty-three million, five hundred forty-one thousand, twenty".