10000224798720 has 768 divisors, whose sum is σ = 35649580861440. Its totient is φ = 2377383936000.

The previous prime is 10000224798691. The next prime is 10000224798727. The reversal of 10000224798720 is 2789742200001.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (10000224798727) 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, 1653746737 + ... + 1653752783.

It is an arithmetic number, because the mean of its divisors is an integer number (46418725080).

Almost surely, 2^{10000224798720} is an apocalyptic number.

10000224798720 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 10000224798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824790430720).

10000224798720 is an abundant number, since it is smaller than the sum of its proper divisors (25649356062720).

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

10000224798720 is a wasteful number, since it uses less digits than its factorization.

10000224798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6212 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

Adding to 10000224798720 its reverse (2789742200001), we get a palindrome (12789966998721).

The spelling of 10000224798720 in words is "ten trillion, two hundred twenty-four million, seven hundred ninety-eight thousand, seven hundred twenty".