10142625598560 has 1728 divisors, whose sum is σ = 44720224488576. Its totient is φ = 2037237350400.

The previous prime is 10142625598559. The next prime is 10142625598591. The reversal of 10142625598560 is 6589552624101.

10142625598560 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 6 + 2 + 559 + 85 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10142625598497 and 10142625598506.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 9934010850 + ... + 9934011870.

It is an arithmetic number, because the mean of its divisors is an integer number (25879759542).

Almost surely, 2^{10142625598560} is an apocalyptic number.

10142625598560 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 10142625598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360112244288).

10142625598560 is an abundant number, since it is smaller than the sum of its proper divisors (34577598890016).

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

10142625598560 is a wasteful number, since it uses less digits than its factorization.

10142625598560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 10142625598560 in words is "ten trillion, one hundred forty-two billion, six hundred twenty-five million, five hundred ninety-eight thousand, five hundred sixty".