10225336320 has 600 divisors, whose sum is σ = 38823390144. Its totient is φ = 2569273344.

The previous prime is 10225336313. The next prime is 10225336333. The reversal of 10225336320 is 2363352201.

10225336320 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 336 + 320 = 666.

It is a super-2 number, since 2×10225336320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152616927 + ... + 152616993.

Almost surely, 2^10225336320 is an apocalyptic number.

10225336320 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 10225336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411695072).

10225336320 is an abundant number, since it is smaller than the sum of its proper divisors (28598053824).

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

10225336320 is an frugal number, since it uses more digits than its factorization.

10225336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10225336320 its reverse (2363352201), we get a palindrome (12588688521).

The spelling of 10225336320 in words is "ten billion, two hundred twenty-five million, three hundred thirty-six thousand, three hundred twenty".