225126660000 has 480 divisors, whose sum is σ = 808736721408. Its totient is φ = 54363520000.

The previous prime is 225126659981. The next prime is 225126660007. The reversal of 225126660000 is 66621522.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 225126660000.

It is not an unprimeable number, because it can be changed into a prime (225126660007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 229019509 + ... + 229020491.

Almost surely, 2^225126660000 is an apocalyptic number.

225126660000 is a gapful number since it is divisible by the number (20) 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 225126660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404368360704).

225126660000 is an abundant number, since it is smaller than the sum of its proper divisors (583610061408).

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

225126660000 is a wasteful number, since it uses less digits than its factorization.

225126660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 225126660000 in words is "two hundred twenty-five billion, one hundred twenty-six million, six hundred sixty thousand".