30258209800 has 192 divisors, whose sum is σ = 86768196480. Its totient is φ = 9555978240.

The previous prime is 30258209743. The next prime is 30258209837. The reversal of 30258209800 is 890285203.

It is a self number, because there is not a number n which added to its sum of digits gives 30258209800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10245124 + ... + 10248076.

It is an arithmetic number, because the mean of its divisors is an integer number (451917690).

Almost surely, 2^30258209800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30258209800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43384098240).

30258209800 is an abundant number, since it is smaller than the sum of its proper divisors (56509986680).

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

30258209800 is a wasteful number, since it uses less digits than its factorization.

30258209800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 30258209800 in words is "thirty billion, two hundred fifty-eight million, two hundred nine thousand, eight hundred".