10115500610600 has 288 divisors, whose sum is σ = 29579998425600. Its totient is φ = 3149036352000.

The previous prime is 10115500610587. The next prime is 10115500610623. The reversal of 10115500610600 is 601600551101.

It is a self number, because there is not a number n which added to its sum of digits gives 10115500610600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140396585 + ... + 140468615.

Almost surely, 2^{10115500610600} is an apocalyptic number.

10115500610600 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 10115500610600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789999212800).

10115500610600 is an abundant number, since it is smaller than the sum of its proper divisors (19464497815000).

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

10115500610600 is a wasteful number, since it uses less digits than its factorization.

10115500610600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72905 (or 72885 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 10115500610600 in words is "ten trillion, one hundred fifteen billion, five hundred million, six hundred ten thousand, six hundred".