5513856316800 has 1536 divisors, whose sum is σ = 20737312727040. Its totient is φ = 1278443520000.

The previous prime is 5513856316799. The next prime is 5513856316819. The reversal of 5513856316800 is 86136583155.

It is a super-2 number, since 2×5513856316800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40247126332 + ... + 40247126468.

It is an arithmetic number, because the mean of its divisors is an integer number (13500854640).

Almost surely, 2^{5513856316800} is an apocalyptic number.

5513856316800 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 5513856316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368656363520).

5513856316800 is an abundant number, since it is smaller than the sum of its proper divisors (15223456410240).

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

5513856316800 is a wasteful number, since it uses less digits than its factorization.

5513856316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 5513856316800 in words is "five trillion, five hundred thirteen billion, eight hundred fifty-six million, three hundred sixteen thousand, eight hundred".