10005500106000 has 640 divisors, whose sum is σ = 40983089771520. Its totient is φ = 2285805312000.

The previous prime is 10005500105941. The next prime is 10005500106001. The reversal of 10005500106000 is 60100550001.

10005500106000 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 50 + 0 + 10 + 600 + 0 = 666.

It is a super-2 number, since 2×10005500106000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10005500106001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 900012442 + ... + 900023558.

It is an arithmetic number, because the mean of its divisors is an integer number (64036077768).

Almost surely, 2^{10005500106000} is an apocalyptic number.

10005500106000 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 10005500106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491544885760).

10005500106000 is an abundant number, since it is smaller than the sum of its proper divisors (30977589665520).

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

10005500106000 is a wasteful number, since it uses less digits than its factorization.

10005500106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13537 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10005500106000 its reverse (60100550001), we get a palindrome (10065600656001).

The spelling of 10005500106000 in words is "ten trillion, five billion, five hundred million, one hundred six thousand".