10025220920 has 128 divisors (see below), whose sum is σ = 26562816000. Its totient is φ = 3357166080.

The previous prime is 10025220911. The next prime is 10025220973. The reversal of 10025220920 is 2902252001.

10025220920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2738051 + ... + 2741709.

It is an arithmetic number, because the mean of its divisors is an integer number (207522000).

Almost surely, 2^10025220920 is an apocalyptic number.

10025220920 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 10025220920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13281408000).

10025220920 is an abundant number, since it is smaller than the sum of its proper divisors (16537595080).

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

10025220920 is a wasteful number, since it uses less digits than its factorization.

10025220920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10025220920 its reverse (2902252001), we get a palindrome (12927472921).

The spelling of 10025220920 in words is "ten billion, twenty-five million, two hundred twenty thousand, nine hundred twenty".