10245623602000 has 320 divisors, whose sum is σ = 25876886630400. Its totient is φ = 3920003942400.

The previous prime is 10245623601979. The next prime is 10245623602007. The reversal of 10245623602000 is 20632654201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10245623602007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1397190334 + ... + 1397197666.

It is an arithmetic number, because the mean of its divisors is an integer number (80865270720).

Almost surely, 2^{10245623602000} is an apocalyptic number.

10245623602000 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 10245623602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12938443315200).

10245623602000 is an abundant number, since it is smaller than the sum of its proper divisors (15631263028400).

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

10245623602000 is a wasteful number, since it uses less digits than its factorization.

10245623602000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7695 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 10245623602000 in words is "ten trillion, two hundred forty-five billion, six hundred twenty-three million, six hundred two thousand".