5201385062400 has 2304 divisors, whose sum is σ = 21563730770400. Its totient is φ = 1236648591360.

The previous prime is 5201385062389. The next prime is 5201385062473. The reversal of 5201385062400 is 42605831025.

5201385062400 is a `hidden beast` number, since 5 + 20 + 1 + 3 + 8 + 5 + 0 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 98139340774 + ... + 98139340826.

Almost surely, 2^{5201385062400} is an apocalyptic number.

5201385062400 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 5201385062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10781865385200).

5201385062400 is an abundant number, since it is smaller than the sum of its proper divisors (16362345708000).

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

5201385062400 is an equidigital number, since it uses as much as digits as its factorization.

5201385062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

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

The spelling of 5201385062400 in words is "five trillion, two hundred one billion, three hundred eighty-five million, sixty-two thousand, four hundred".