10825450020 has 576 divisors, whose sum is σ = 44230717440. Its totient is φ = 2075673600.

The previous prime is 10825450007. The next prime is 10825450021. The reversal of 10825450020 is 2005452801.

It is a happy number.

10825450020 is a `hidden beast` number, since 10 + 82 + 54 + 500 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (10825450021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9244035 + ... + 9245205.

It is an arithmetic number, because the mean of its divisors is an integer number (76789440).

Almost surely, 2^10825450020 is an apocalyptic number.

10825450020 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 10825450020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115358720).

10825450020 is an abundant number, since it is smaller than the sum of its proper divisors (33405267420).

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

10825450020 is a wasteful number, since it uses less digits than its factorization.

10825450020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10825450020 in words is "ten billion, eight hundred twenty-five million, four hundred fifty thousand, twenty".