10005111060 has 240 divisors, whose sum is σ = 32939760000. Its totient is φ = 2268870912.

The previous prime is 10005111049. The next prime is 10005111073. The reversal of 10005111060 is 6011150001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28667766 + ... + 28668114.

It is an arithmetic number, because the mean of its divisors is an integer number (137249000).

Almost surely, 2^10005111060 is an apocalyptic number.

10005111060 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 10005111060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469880000).

10005111060 is an abundant number, since it is smaller than the sum of its proper divisors (22934648940).

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

10005111060 is a wasteful number, since it uses less digits than its factorization.

10005111060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10005111060 its reverse (6011150001), we get a palindrome (16016261061).

It can be divided in two parts, 100051 and 11060, that added together give a palindrome (111111).

The spelling of 10005111060 in words is "ten billion, five million, one hundred eleven thousand, sixty".