5178134203200 has 2016 divisors, whose sum is σ = 23229498359808. Its totient is φ = 1066770432000.

The previous prime is 5178134203171. The next prime is 5178134203213. The reversal of 5178134203200 is 23024318715.

5178134203200 is a `hidden beast` number, since 5 + 17 + 8 + 13 + 420 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5684010745 + ... + 5684011655.

Almost surely, 2^{5178134203200} is an apocalyptic number.

5178134203200 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 5178134203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11614749179904).

5178134203200 is an abundant number, since it is smaller than the sum of its proper divisors (18051364156608).

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

5178134203200 is a wasteful number, since it uses less digits than its factorization.

5178134203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5178134203200 in words is "five trillion, one hundred seventy-eight billion, one hundred thirty-four million, two hundred three thousand, two hundred".