53402467200 has 768 divisors, whose sum is σ = 199652221440. Its totient is φ = 12471500800.

The previous prime is 53402467193. The next prime is 53402467207. The reversal of 53402467200 is 276420435.

It is an interprime number because it is at equal distance from previous prime (53402467193) and next prime (53402467207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53402467207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153897427 + ... + 153897773.

It is an arithmetic number, because the mean of its divisors is an integer number (259963830).

Almost surely, 2^53402467200 is an apocalyptic number.

53402467200 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 53402467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99826110720).

53402467200 is an abundant number, since it is smaller than the sum of its proper divisors (146249754240).

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

53402467200 is a wasteful number, since it uses less digits than its factorization.

53402467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

Adding to 53402467200 its reverse (276420435), we get a palindrome (53678887635).

The spelling of 53402467200 in words is "fifty-three billion, four hundred two million, four hundred sixty-seven thousand, two hundred".