5613818515200 has 1944 divisors, whose sum is σ = 24416355534480. Its totient is φ = 1225418342400.

The previous prime is 5613818515189. The next prime is 5613818515213. The reversal of 5613818515200 is 25158183165.

5613818515200 is a `hidden beast` number, since 5 + 61 + 3 + 8 + 18 + 51 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8757906880 + ... + 8757907520.

It is an arithmetic number, because the mean of its divisors is an integer number (12559853670).

Almost surely, 2^{5613818515200} is an apocalyptic number.

5613818515200 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 5613818515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208177767240).

5613818515200 is an abundant number, since it is smaller than the sum of its proper divisors (18802537019280).

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

5613818515200 is a wasteful number, since it uses less digits than its factorization.

5613818515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 5613818515200 in words is "five trillion, six hundred thirteen billion, eight hundred eighteen million, five hundred fifteen thousand, two hundred".