10225450020 has 288 divisors, whose sum is σ = 32839470720. Its totient is φ = 2368880640.

The previous prime is 10225450013. The next prime is 10225450057. The reversal of 10225450020 is 2005452201.

It is a happy number.

It is a super-2 number, since 2×10225450020² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13507482 + ... + 13508238.

It is an arithmetic number, because the mean of its divisors is an integer number (114025940).

Almost surely, 2^10225450020 is an apocalyptic number.

10225450020 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 10225450020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419735360).

10225450020 is an abundant number, since it is smaller than the sum of its proper divisors (22614020700).

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

10225450020 is a wasteful number, since it uses less digits than its factorization.

10225450020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 10225450020 in words is "ten billion, two hundred twenty-five million, four hundred fifty thousand, twenty".