30255123600 has 405 divisors, whose sum is σ = 114203497707. Its totient is φ = 7414018560.

The previous prime is 30255123581. The next prime is 30255123649. The reversal of 30255123600 is 632155203.

The square root of 30255123600 is 173940.

It is a perfect power (a square), and thus also a powerful number.

30255123600 is a `hidden beast` number, since 3 + 0 + 2 + 5 + 51 + 2 + 3 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7798302864 + 22456820736 = 88308^2 + 149856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135673089 + ... + 135673311.

Almost surely, 2^30255123600 is an apocalyptic number.

30255123600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30255123600 is the 173940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30255123600

30255123600 is an abundant number, since it is smaller than the sum of its proper divisors (83948374107).

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

30255123600 is a wasteful number, since it uses less digits than its factorization.

30255123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 30255123600 its reverse (632155203), we get a palindrome (30887278803).

The spelling of 30255123600 in words is "thirty billion, two hundred fifty-five million, one hundred twenty-three thousand, six hundred".