53402214400 has 84 divisors (see below), whose sum is σ = 132429916242. Its totient is φ = 21360803840.

The previous prime is 53402214391. The next prime is 53402214419. The reversal of 53402214400 is 441220435.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 48273362944 + 5128851456 = 219712^2 + 71616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74424 + ... + 335176.

Almost surely, 2^53402214400 is an apocalyptic number.

53402214400 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 53402214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66214958121).

53402214400 is an abundant number, since it is smaller than the sum of its proper divisors (79027701842).

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

53402214400 is an equidigital number, since it uses as much as digits as its factorization.

53402214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260789 (or 260760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 53402214400 its reverse (441220435), we get a palindrome (53843434835).

The spelling of 53402214400 in words is "fifty-three billion, four hundred two million, two hundred fourteen thousand, four hundred".