5030406618900 has 576 divisors, whose sum is σ = 17577624960000. Its totient is φ = 1097259540480.

The previous prime is 5030406618869. The next prime is 5030406618901. The reversal of 5030406618900 is 98166040305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5030406618901) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 205318851 + ... + 205343349.

It is an arithmetic number, because the mean of its divisors is an integer number (30516710000).

Almost surely, 2^{5030406618900} is an apocalyptic number.

5030406618900 is a gapful number since it is divisible by the number (50) 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 5030406618900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788812480000).

5030406618900 is an abundant number, since it is smaller than the sum of its proper divisors (12547218341100).

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

5030406618900 is a wasteful number, since it uses less digits than its factorization.

5030406618900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24728 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 5030406618900 in words is "five trillion, thirty billion, four hundred six million, six hundred eighteen thousand, nine hundred".