10442510117600 has 144 divisors (see below), whose sum is σ = 27863694015696. Its totient is φ = 3789986304000.

The previous prime is 10442510117551. The next prime is 10442510117647. The reversal of 10442510117600 is 671101524401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3445982 + ... + 5723618.

It is an arithmetic number, because the mean of its divisors is an integer number (193497875109).

Almost surely, 2^{10442510117600} is an apocalyptic number.

10442510117600 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 10442510117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931847007848).

10442510117600 is an abundant number, since it is smaller than the sum of its proper divisors (17421183898096).

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

10442510117600 is a wasteful number, since it uses less digits than its factorization.

10442510117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278189 (or 2278176 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 10442510117600 in words is "ten trillion, four hundred forty-two billion, five hundred ten million, one hundred seventeen thousand, six hundred".