53042828739600 has 1440 divisors, whose sum is σ = 220763831353344. Its totient is φ = 10631737036800.

The previous prime is 53042828739587. The next prime is 53042828739653. The reversal of 53042828739600 is 693782824035.

53042828739600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2162088934 + ... + 2162113466.

Almost surely, 2^{53042828739600} is an apocalyptic number.

53042828739600 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 53042828739600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110381915676672).

53042828739600 is an abundant number, since it is smaller than the sum of its proper divisors (167721002613744).

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

53042828739600 is a wasteful number, since it uses less digits than its factorization.

53042828739600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24653 (or 24623 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 53042828739600 in words is "fifty-three trillion, forty-two billion, eight hundred twenty-eight million, seven hundred thirty-nine thousand, six hundred".