10225405800 has 576 divisors, whose sum is σ = 37604736000. Its totient is φ = 2483712000.

The previous prime is 10225405789. The next prime is 10225405903. The reversal of 10225405800 is 850452201.

It is a happy number.

10225405800 is a `hidden beast` number, since 10 + 22 + 54 + 0 + 580 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114892156 + ... + 114892244.

It is an arithmetic number, because the mean of its divisors is an integer number (65286000).

Almost surely, 2^10225405800 is an apocalyptic number.

10225405800 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 10225405800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802368000).

10225405800 is an abundant number, since it is smaller than the sum of its proper divisors (27379330200).

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

10225405800 is a wasteful number, since it uses less digits than its factorization.

10225405800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

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

It can be divided in two parts, 10225 and 405800, that added together give a square (416025 = 645²).

The spelling of 10225405800 in words is "ten billion, two hundred twenty-five million, four hundred five thousand, eight hundred".