5353310314400 has 36 divisors (see below), whose sum is σ = 13068768806982. Its totient is φ = 2141324125440.

The previous prime is 5353310314399. The next prime is 5353310314409. The reversal of 5353310314400 is 44130133535.

It can be written as a sum of positive squares in 3 ways, for example, as 3089453043856 + 2263857270544 = 1757684^2 + 1504612^2 .

It is a super-2 number, since 2×5353310314400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5353310314409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3345818147 + ... + 3345819746.

Almost surely, 2^{5353310314400} is an apocalyptic number.

5353310314400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5353310314400 is an abundant number, since it is smaller than the sum of its proper divisors (7715458492582).

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

5353310314400 is a wasteful number, since it uses less digits than its factorization.

5353310314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691637913 (or 6691637900 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 5353310314400 its reverse (44130133535), we get a palindrome (5397440447935).

The spelling of 5353310314400 in words is "five trillion, three hundred fifty-three billion, three hundred ten million, three hundred fourteen thousand, four hundred".