225021661600 has 144 divisors (see below), whose sum is σ = 553676812416. Its totient is φ = 89299584000.

The previous prime is 225021661597. The next prime is 225021661619. The reversal of 225021661600 is 6166120522.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70516005 + ... + 70519195.

It is an arithmetic number, because the mean of its divisors is an integer number (3844977864).

Almost surely, 2^225021661600 is an apocalyptic number.

225021661600 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 225021661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276838406208).

225021661600 is an abundant number, since it is smaller than the sum of its proper divisors (328655150816).

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

225021661600 is a wasteful number, since it uses less digits than its factorization.

225021661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 225021661600 in words is "two hundred twenty-five billion, twenty-one million, six hundred sixty-one thousand, six hundred".