5052201638400 has 3840 divisors, whose sum is σ = 23848987852800. Its totient is φ = 1021870080000.

The previous prime is 5052201638293. The next prime is 5052201638459. The reversal of 5052201638400 is 48361022505.

5052201638400 is a `hidden beast` number, since 50 + 5 + 220 + 1 + 6 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×5052201638400³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 50021798350 + ... + 50021798450.

It is an arithmetic number, because the mean of its divisors is an integer number (6210673920).

Almost surely, 2^{5052201638400} is an apocalyptic number.

5052201638400 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 5052201638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924493926400).

5052201638400 is an abundant number, since it is smaller than the sum of its proper divisors (18796786214400).

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

5052201638400 is a wasteful number, since it uses less digits than its factorization.

5052201638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 201 counting only the distinct ones).

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

The spelling of 5052201638400 in words is "five trillion, fifty-two billion, two hundred one million, six hundred thirty-eight thousand, four hundred".