30228265267200 has 5616 divisors, whose sum is σ = 153751611267072. Its totient is φ = 5573836800000.

The previous prime is 30228265267177. The next prime is 30228265267253. The reversal of 30228265267200 is 276256282203.

It is a happy number.

30228265267200 is a `hidden beast` number, since 3 + 0 + 22 + 82 + 6 + 526 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 200187187125 + ... + 200187187275.

Almost surely, 2^{30228265267200} is an apocalyptic number.

30228265267200 is a gapful number since it is divisible by the number (30) 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 30228265267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76875805633536).

30228265267200 is an abundant number, since it is smaller than the sum of its proper divisors (123523345999872).

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

30228265267200 is a wasteful number, since it uses less digits than its factorization.

30228265267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 30228265267200 in words is "thirty trillion, two hundred twenty-eight billion, two hundred sixty-five million, two hundred sixty-seven thousand, two hundred".