5365562400 has 432 divisors, whose sum is σ = 21209767488. Its totient is φ = 1264896000.

The previous prime is 5365562359. The next prime is 5365562413. The reversal of 5365562400 is 42655635.

It is a happy number.

5365562400 is a `hidden beast` number, since 5 + 365 + 56 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2929485 + ... + 2931315.

It is an arithmetic number, because the mean of its divisors is an integer number (49096684).

Almost surely, 2^5365562400 is an apocalyptic number.

5365562400 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 5365562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604883744).

5365562400 is an abundant number, since it is smaller than the sum of its proper divisors (15844205088).

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

5365562400 is a wasteful number, since it uses less digits than its factorization.

5365562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1889 counting only the distinct ones).

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

The square root of 5365562400 is about 73249.9993174061. Note that the first 3 decimals coincide. The cubic root of 5365562400 is about 1750.6731995002.

It can be divided in two parts, 5365 and 562400, that added together give a palindrome (567765).

The spelling of 5365562400 in words is "five billion, three hundred sixty-five million, five hundred sixty-two thousand, four hundred".