5341825843200 has 4320 divisors, whose sum is σ = 26834455484928. Its totient is φ = 1019215872000.

The previous prime is 5341825843157. The next prime is 5341825843201. The reversal of 5341825843200 is 23485281435.

5341825843200 is a `hidden beast` number, since 5 + 3 + 41 + 8 + 2 + 584 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341825843201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 130288435180 + ... + 130288435220.

Almost surely, 2^{5341825843200} is an apocalyptic number.

5341825843200 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 5341825843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13417227742464).

5341825843200 is an abundant number, since it is smaller than the sum of its proper divisors (21492629641728).

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

5341825843200 is a wasteful number, since it uses less digits than its factorization.

5341825843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 5341825843200 in words is "five trillion, three hundred forty-one billion, eight hundred twenty-five million, eight hundred forty-three thousand, two hundred".