5241614560200 has 192 divisors, whose sum is σ = 18057723100800. Its totient is φ = 1397510496000.

The previous prime is 5241614560187. The next prime is 5241614560201. The reversal of 5241614560200 is 20654161425.

5241614560200 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 6 + 1 + 45 + 602 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5241614560201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30700269 + ... + 30870531.

It is an arithmetic number, because the mean of its divisors is an integer number (94050641150).

Almost surely, 2^{5241614560200} is an apocalyptic number.

5241614560200 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 5241614560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028861550400).

5241614560200 is an abundant number, since it is smaller than the sum of its proper divisors (12816108540600).

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

5241614560200 is a wasteful number, since it uses less digits than its factorization.

5241614560200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175989 (or 175974 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5241614560200 in words is "five trillion, two hundred forty-one billion, six hundred fourteen million, five hundred sixty thousand, two hundred".