53542608000 has 512 divisors, whose sum is σ = 213551769600. Its totient is φ = 11592806400.

The previous prime is 53542607999. The next prime is 53542608013. The reversal of 53542608000 is 80624535.

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 63 ways as a sum of consecutive naturals, for example, 6379807 + ... + 6388193.

It is an arithmetic number, because the mean of its divisors is an integer number (417093300).

Almost surely, 2^53542608000 is an apocalyptic number.

53542608000 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 53542608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106775884800).

53542608000 is an abundant number, since it is smaller than the sum of its proper divisors (160009161600).

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

53542608000 is a wasteful number, since it uses less digits than its factorization.

53542608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 53542608000 in words is "fifty-three billion, five hundred forty-two million, six hundred eight thousand".