10225576800 has 216 divisors, whose sum is σ = 36283318344. Its totient is φ = 2709780480.

The previous prime is 10225576771. The next prime is 10225576841. The reversal of 10225576800 is 867552201.

It is a happy number.

10225576800 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 576 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1169244 + ... + 1177956.

Almost surely, 2^10225576800 is an apocalyptic number.

10225576800 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 10225576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18141659172).

10225576800 is an abundant number, since it is smaller than the sum of its proper divisors (26057741544).

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

10225576800 is a wasteful number, since it uses less digits than its factorization.

10225576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10225576800 in words is "ten billion, two hundred twenty-five million, five hundred seventy-six thousand, eight hundred".