225519930017040 has 320 divisors, whose sum is σ = 716707873474560. Its totient is φ = 58630306775040.

The previous prime is 225519930016993. The next prime is 225519930017047. The reversal of 225519930017040 is 40710039915522.

It is a Cunningham number, because it is equal to 15017321²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (225519930017047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25829789475 + ... + 25829798205.

It is an arithmetic number, because the mean of its divisors is an integer number (2239712104608).

Almost surely, 2^{225519930017040} is an apocalyptic number.

225519930017040 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 225519930017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358353936737280).

225519930017040 is an abundant number, since it is smaller than the sum of its proper divisors (491187943457520).

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

225519930017040 is a wasteful number, since it uses less digits than its factorization.

225519930017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13182 (or 13176 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 225519930017040 in words is "two hundred twenty-five trillion, five hundred nineteen billion, nine hundred thirty million, seventeen thousand, forty".