30087400200 has 576 divisors, whose sum is σ = 112211568000. Its totient is φ = 6623232000.

The previous prime is 30087400181. The next prime is 30087400243. The reversal of 30087400200 is 200478003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67009576 + ... + 67010024.

It is an arithmetic number, because the mean of its divisors is an integer number (194811750).

Almost surely, 2^30087400200 is an apocalyptic number.

30087400200 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 30087400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56105784000).

30087400200 is an abundant number, since it is smaller than the sum of its proper divisors (82124167800).

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

30087400200 is a wasteful number, since it uses less digits than its factorization.

30087400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 30087400200 its reverse (200478003), we get a palindrome (30287878203).

The spelling of 30087400200 in words is "thirty billion, eighty-seven million, four hundred thousand, two hundred".