5034789945900 has 1152 divisors, whose sum is σ = 19696739328000. Its totient is φ = 1086566400000.

The previous prime is 5034789945877. The next prime is 5034789945901. The reversal of 5034789945900 is 95499874305.

5034789945900 is a `hidden beast` number, since 5 + 0 + 34 + 7 + 8 + 9 + 9 + 4 + 590 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5034789945901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4799608576 + ... + 4799609624.

It is an arithmetic number, because the mean of its divisors is an integer number (17097864000).

Almost surely, 2^{5034789945900} is an apocalyptic number.

5034789945900 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 5034789945900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9848369664000).

5034789945900 is an abundant number, since it is smaller than the sum of its proper divisors (14661949382100).

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

5034789945900 is a wasteful number, since it uses less digits than its factorization.

5034789945900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 5034789945900 in words is "five trillion, thirty-four billion, seven hundred eighty-nine million, nine hundred forty-five thousand, nine hundred".