30230865100800 has 7200 divisors, whose sum is σ = 158582130094080. Its totient is φ = 5503765708800.

The previous prime is 30230865100739. The next prime is 30230865100871. The reversal of 30230865100800 is 800156803203.

30230865100800 is a `hidden beast` number, since 30 + 2 + 30 + 8 + 6 + 510 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 975189196785 + ... + 975189196815.

Almost surely, 2^{30230865100800} is an apocalyptic number.

30230865100800 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 30230865100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79291065047040).

30230865100800 is an abundant number, since it is smaller than the sum of its proper divisors (128351264993280).

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

30230865100800 is a wasteful number, since it uses less digits than its factorization.

30230865100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30230865100800 in words is "thirty trillion, two hundred thirty billion, eight hundred sixty-five million, one hundred thousand, eight hundred".