10005501006060 has 192 divisors, whose sum is σ = 32131038320640. Its totient is φ = 2278878842880.

The previous prime is 10005501006013. The next prime is 10005501006113. The reversal of 10005501006060 is 6060010550001.

It is a super-2 number, since 2×10005501006060² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005501006060.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205187202 + ... + 205235958.

It is an arithmetic number, because the mean of its divisors is an integer number (167349157920).

Almost surely, 2^{10005501006060} is an apocalyptic number.

10005501006060 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 10005501006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065519160320).

10005501006060 is an abundant number, since it is smaller than the sum of its proper divisors (22125537314580).

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

10005501006060 is a wasteful number, since it uses less digits than its factorization.

10005501006060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50496 (or 50494 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10005501006060 its reverse (6060010550001), we get a palindrome (16065511556061).

The spelling of 10005501006060 in words is "ten trillion, five billion, five hundred one million, six thousand, sixty".