53384715600 has 240 divisors, whose sum is σ = 179168532480. Its totient is φ = 13570444800.

The previous prime is 53384715599. The next prime is 53384715649. The reversal of 53384715600 is 651748335.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2481691 + ... + 2503109.

It is an arithmetic number, because the mean of its divisors is an integer number (746535552).

Almost surely, 2^53384715600 is an apocalyptic number.

53384715600 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 53384715600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89584266240).

53384715600 is an abundant number, since it is smaller than the sum of its proper divisors (125783816880).

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

53384715600 is a wasteful number, since it uses less digits than its factorization.

53384715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21538 (or 21527 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 53384715600 in words is "fifty-three billion, three hundred eighty-four million, seven hundred fifteen thousand, six hundred".