10005530013020 has 24 divisors (see below), whose sum is σ = 21012210059568. Its totient is φ = 4002098284800.

The previous prime is 10005530012977. The next prime is 10005530013047. The reversal of 10005530013020 is 2031003550001.

10005530013020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10005530013020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10005530012983 and 10005530013001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6384266 + ... + 7795505.

It is an arithmetic number, because the mean of its divisors is an integer number (875508752482).

Almost surely, 2^{10005530013020} is an apocalyptic number.

10005530013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005530013020 is an abundant number, since it is smaller than the sum of its proper divisors (11006680046548).

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

10005530013020 is a wasteful number, since it uses less digits than its factorization.

10005530013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14215061 (or 14215059 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 10005530013020 its reverse (2031003550001), we get a palindrome (12036533563021).

The spelling of 10005530013020 in words is "ten trillion, five billion, five hundred thirty million, thirteen thousand, twenty".