53442739200 has 264 divisors, whose sum is σ = 180749903488. Its totient is φ = 13919109120.

The previous prime is 53442739169. The next prime is 53442739213. The reversal of 53442739200 is 293724435.

It is a super-2 number, since 2×53442739200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3294309 + ... + 3310491.

Almost surely, 2^53442739200 is an apocalyptic number.

53442739200 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 53442739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90374951744).

53442739200 is an abundant number, since it is smaller than the sum of its proper divisors (127307164288).

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

53442739200 is a wasteful number, since it uses less digits than its factorization.

53442739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16259 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 53442739200 in words is "fifty-three billion, four hundred forty-two million, seven hundred thirty-nine thousand, two hundred".