225030761280 has 448 divisors, whose sum is σ = 864568857600. Its totient is φ = 54767370240.

The previous prime is 225030761261. The next prime is 225030761299. The reversal of 225030761280 is 82167030522.

225030761280 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 30 + 7 + 612 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225030761261) and next prime (225030761299).

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 63 ways as a sum of consecutive naturals, for example, 9985225 + ... + 10007735.

It is an arithmetic number, because the mean of its divisors is an integer number (1929841200).

Almost surely, 2^225030761280 is an apocalyptic number.

225030761280 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 225030761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432284428800).

225030761280 is an abundant number, since it is smaller than the sum of its proper divisors (639538096320).

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

225030761280 is a wasteful number, since it uses less digits than its factorization.

225030761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22639 (or 22623 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 225030 and 761280, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 225030761280 in words is "two hundred twenty-five billion, thirty million, seven hundred sixty-one thousand, two hundred eighty".