5353514400 has 432 divisors, whose sum is σ = 19248080544. Its totient is φ = 1291530240.

The previous prime is 5353514389. The next prime is 5353514401. The reversal of 5353514400 is 44153535.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5353514401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27175102 + ... + 27175298.

It is an arithmetic number, because the mean of its divisors is an integer number (44555742).

Almost surely, 2^5353514400 is an apocalyptic number.

5353514400 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 5353514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624040272).

5353514400 is an abundant number, since it is smaller than the sum of its proper divisors (13894566144).

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

5353514400 is a wasteful number, since it uses less digits than its factorization.

5353514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5353514400 is about 73167.7141914383. The cubic root of 5353514400 is about 1749.3618789080.

Adding to 5353514400 its reverse (44153535), we get a palindrome (5397667935).

The spelling of 5353514400 in words is "five billion, three hundred fifty-three million, five hundred fourteen thousand, four hundred".