10600505055504 has 800 divisors, whose sum is σ = 41272394397696. Its totient is φ = 2546387435520.

The previous prime is 10600505055443. The next prime is 10600505055541. The reversal of 10600505055504 is 40555050500601.

10600505055504 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 50 + 50 + 5 + 550 + 4 = 666.

It is a super-2 number, since 2×10600505055504² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62066994 + ... + 62237550.

Almost surely, 2^{10600505055504} is an apocalyptic number.

10600505055504 is a gapful number since it is divisible by the number (14) 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 10600505055504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20636197198848).

10600505055504 is an abundant number, since it is smaller than the sum of its proper divisors (30671889342192).

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

10600505055504 is a wasteful number, since it uses less digits than its factorization.

10600505055504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170645 (or 170630 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 10600505055504 in words is "ten trillion, six hundred billion, five hundred five million, fifty-five thousand, five hundred four".