228750610075520 has 768 divisors, whose sum is σ = 626930874501120. Its totient is φ = 79256415928320.

The previous prime is 228750610075469. The next prime is 228750610075573. The reversal of 228750610075520 is 25570016057822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122523089627 + ... + 122523091493.

It is an arithmetic number, because the mean of its divisors is an integer number (816316242840).

Almost surely, 2^{228750610075520} is an apocalyptic number.

228750610075520 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 228750610075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313465437250560).

228750610075520 is an abundant number, since it is smaller than the sum of its proper divisors (398180264425600).

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

228750610075520 is a wasteful number, since it uses less digits than its factorization.

228750610075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 50.

The spelling of 228750610075520 in words is "two hundred twenty-eight trillion, seven hundred fifty billion, six hundred ten million, seventy-five thousand, five hundred twenty".