225753221550024 has 576 divisors, whose sum is σ = 730676804457600. Its totient is φ = 61668522768384.

The previous prime is 225753221550019. The next prime is 225753221550041. The reversal of 225753221550024 is 420055122357522.

225753221550024 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 53 + 2 + 21 + 550 + 0 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8430849724 + ... + 8430876500.

It is an arithmetic number, because the mean of its divisors is an integer number (1268536118850).

Almost surely, 2^{225753221550024} is an apocalyptic number.

225753221550024 is a gapful number since it is divisible by the number (24) 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 225753221550024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365338402228800).

225753221550024 is an abundant number, since it is smaller than the sum of its proper divisors (504923582907576).

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

225753221550024 is a wasteful number, since it uses less digits than its factorization.

225753221550024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27074 (or 27024 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 225753221550024 in words is "two hundred twenty-five trillion, seven hundred fifty-three billion, two hundred twenty-one million, five hundred fifty thousand, twenty-four".