5201216457600 has 192 divisors, whose sum is σ = 17153693544240. Its totient is φ = 1385194782720.

The previous prime is 5201216457599. The next prime is 5201216457659. The reversal of 5201216457600 is 67546121025.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7070352 + ... + 7771248.

Almost surely, 2^{5201216457600} is an apocalyptic number.

5201216457600 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 5201216457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576846772120).

5201216457600 is an abundant number, since it is smaller than the sum of its proper divisors (11952477086640).

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

5201216457600 is a wasteful number, since it uses less digits than its factorization.

5201216457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701697 (or 701680 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 5201216457600 in words is "five trillion, two hundred one billion, two hundred sixteen million, four hundred fifty-seven thousand, six hundred".