5005513045200 has 240 divisors, whose sum is σ = 16087893116480. Its totient is φ = 1330352087040.

The previous prime is 5005513045199. The next prime is 5005513045213. The reversal of 5005513045200 is 25403155005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 455330904 + ... + 455341896.

Almost surely, 2^{5005513045200} is an apocalyptic number.

5005513045200 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 5005513045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043946558240).

5005513045200 is an abundant number, since it is smaller than the sum of its proper divisors (11082380071280).

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

5005513045200 is a wasteful number, since it uses less digits than its factorization.

5005513045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12235 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 5005513045200 in words is "five trillion, five billion, five hundred thirteen million, forty-five thousand, two hundred".