5201900121600 has 2880 divisors, whose sum is σ = 24584952712320. Its totient is φ = 1022754816000.

The previous prime is 5201900121559. The next prime is 5201900121611. The reversal of 5201900121600 is 61210091025.

5201900121600 is a `hidden beast` number, since 5 + 20 + 19 + 0 + 0 + 1 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 51503961550 + ... + 51503961650.

It is an arithmetic number, because the mean of its divisors is an integer number (8536441914).

Almost surely, 2^{5201900121600} is an apocalyptic number.

5201900121600 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 5201900121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292476356160).

5201900121600 is an abundant number, since it is smaller than the sum of its proper divisors (19383052590720).

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

5201900121600 is a wasteful number, since it uses less digits than its factorization.

5201900121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 5201900121600 in words is "five trillion, two hundred one billion, nine hundred million, one hundred twenty-one thousand, six hundred".