5652536400 has 300 divisors, whose sum is σ = 23185501152. Its totient is φ = 1291956480.

The previous prime is 5652536389. The next prime is 5652536413. The reversal of 5652536400 is 46352565.

It is a happy number.

5652536400 is a `hidden beast` number, since 5 + 6 + 5 + 2 + 5 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 214339 + ... + 239261.

Almost surely, 2^5652536400 is an apocalyptic number.

5652536400 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 5652536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592750576).

5652536400 is an abundant number, since it is smaller than the sum of its proper divisors (17532964752).

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

5652536400 is a wasteful number, since it uses less digits than its factorization.

5652536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24960 (or 24940 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5652536400 is about 75183.3518805859. The cubic root of 5652536400 is about 1781.3439750974.

Adding to 5652536400 its reverse (46352565), we get a palindrome (5698888965).

The spelling of 5652536400 in words is "five billion, six hundred fifty-two million, five hundred thirty-six thousand, four hundred".