5325350400 has 480 divisors, whose sum is σ = 20600764800. Its totient is φ = 1343692800.

The previous prime is 5325350399. The next prime is 5325350423. The reversal of 5325350400 is 40535235.

5325350400 is a `hidden beast` number, since 5 + 3 + 253 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6565995 + ... + 6566805.

It is an arithmetic number, because the mean of its divisors is an integer number (42918260).

Almost surely, 2^5325350400 is an apocalyptic number.

5325350400 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 5325350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10300382400).

5325350400 is an abundant number, since it is smaller than the sum of its proper divisors (15275414400).

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

5325350400 is a wasteful number, since it uses less digits than its factorization.

5325350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 5325350400 is about 72974.9984583761. The cubic root of 5325350400 is about 1746.2887773556.

Adding to 5325350400 its reverse (40535235), we get a palindrome (5365885635).

The spelling of 5325350400 in words is "five billion, three hundred twenty-five million, three hundred fifty thousand, four hundred".