10600005601000 has 64 divisors (see below), whose sum is σ = 24810240546000. Its totient is φ = 4238937721600.

The previous prime is 10600005600973. The next prime is 10600005601061. The reversal of 10600005601000 is 10650000601.

It can be written as a sum of positive squares in 8 ways, for example, as 6139349316 + 10593866251684 = 78354^2 + 3254822^2 .

It is a super-2 number, since 2×10600005601000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2660346 + ... + 5317654.

Almost surely, 2^{10600005601000} is an apocalyptic number.

10600005601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10600005601000 is an abundant number, since it is smaller than the sum of its proper divisors (14210234945000).

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

10600005601000 is a wasteful number, since it uses less digits than its factorization.

10600005601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661319 (or 2661305 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10600005601000 its reverse (10650000601), we get a palindrome (10610655601601).

The spelling of 10600005601000 in words is "ten trillion, six hundred billion, five million, six hundred one thousand".