228800878161120 has 576 divisors, whose sum is σ = 813076852573440. Its totient is φ = 60759636185088.

The previous prime is 228800878161101. The next prime is 228800878161151. The reversal of 228800878161120 is 21161878008822.

It is a happy number.

228800878161120 is a `hidden beast` number, since 2 + 288 + 0 + 0 + 87 + 8 + 161 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10914499759 + ... + 10914520721.

It is an arithmetic number, because the mean of its divisors is an integer number (1411591757940).

Almost surely, 2^{228800878161120} is an apocalyptic number.

228800878161120 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 228800878161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406538426286720).

228800878161120 is an abundant number, since it is smaller than the sum of its proper divisors (584275974412320).

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

228800878161120 is a wasteful number, since it uses less digits than its factorization.

228800878161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22149 (or 22129 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 228800878161120 in words is "two hundred twenty-eight trillion, eight hundred billion, eight hundred seventy-eight million, one hundred sixty-one thousand, one hundred twenty".