5036523408400 has 225 divisors, whose sum is σ = 13433274752065. Its totient is φ = 1813329760000.

The previous prime is 5036523408379. The next prime is 5036523408403. The reversal of 5036523408400 is 48043256305.

The square root of 5036523408400 is 2244220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 295905536784 + 4740617871616 = 543972^2 + 2177296^2 .

It is a super-2 number, since 2×5036523408400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5036523408403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49866568350 + ... + 49866568450.

Almost surely, 2^{5036523408400} is an apocalyptic number.

5036523408400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5036523408400 is the 2244220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5036523408400

5036523408400 is an abundant number, since it is smaller than the sum of its proper divisors (8396751343665).

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

5036523408400 is an frugal number, since it uses more digits than its factorization.

5036523408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 5036523408400 in words is "five trillion, thirty-six billion, five hundred twenty-three million, four hundred eight thousand, four hundred".