5355200400 has 480 divisors, whose sum is σ = 20192993280. Its totient is φ = 1199616000.

The previous prime is 5355200381. The next prime is 5355200419. The reversal of 5355200400 is 40025535.

It is an interprime number because it is at equal distance from previous prime (5355200381) and next prime (5355200419).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9411316 + ... + 9411884.

It is an arithmetic number, because the mean of its divisors is an integer number (42068736).

Almost surely, 2^5355200400 is an apocalyptic number.

5355200400 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 5355200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10096496640).

5355200400 is an abundant number, since it is smaller than the sum of its proper divisors (14837792880).

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

5355200400 is a wasteful number, since it uses less digits than its factorization.

5355200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 5355200400 is about 73179.2347595956. The cubic root of 5355200400 is about 1749.5455037407.

Adding to 5355200400 its reverse (40025535), we get a palindrome (5395225935).

The spelling of 5355200400 in words is "five billion, three hundred fifty-five million, two hundred thousand, four hundred".