230055302210400 has 216 divisors, whose sum is σ = 811261910211480. Its totient is φ = 61345857208320.

The previous prime is 230055302210369. The next prime is 230055302210519. The reversal of 230055302210400 is 4012203550032.

It is a happy number.

230055302210400 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 5 + 5 + 30 + 221 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203072736 + ... + 204202464.

It is an arithmetic number, because the mean of its divisors is an integer number (3755842176905).

Almost surely, 2^{230055302210400} is an apocalyptic number.

230055302210400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230055302210400 is an abundant number, since it is smaller than the sum of its proper divisors (581206608001080).

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

230055302210400 is a wasteful number, since it uses less digits than its factorization.

230055302210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158038 (or 1158022 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 230055302210400 its reverse (4012203550032), we get a palindrome (234067505760432).

The spelling of 230055302210400 in words is "two hundred thirty trillion, fifty-five billion, three hundred two million, two hundred ten thousand, four hundred".