230542005657600 has 1008 divisors, whose sum is σ = 1016372788415712. Its totient is φ = 48641794375680.

The previous prime is 230542005657583. The next prime is 230542005657617. The reversal of 230542005657600 is 6756500245032.

230542005657600 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 4 + 20 + 0 + 56 + 576 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230542005657583) and next prime (230542005657617).

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167043964 + ... + 168418436.

It is an arithmetic number, because the mean of its divisors is an integer number (1008306337714).

Almost surely, 2^{230542005657600} is an apocalyptic number.

230542005657600 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 230542005657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508186394207856).

230542005657600 is an abundant number, since it is smaller than the sum of its proper divisors (785830782758112).

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

230542005657600 is a wasteful number, since it uses less digits than its factorization.

230542005657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374535 (or 1374503 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 230542005657600 in words is "two hundred thirty trillion, five hundred forty-two billion, five million, six hundred fifty-seven thousand, six hundred".