53968369573872 has 640 divisors, whose sum is σ = 182188089216000. Its totient is φ = 15145124843520.

The previous prime is 53968369573841. The next prime is 53968369573907. The reversal of 53968369573872 is 27837596386935.

53968369573872 is a `hidden beast` number, since 5 + 3 + 9 + 6 + 8 + 36 + 9 + 573 + 8 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53968369573791 and 53968369573800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1073737222 + ... + 1073787482.

It is an arithmetic number, because the mean of its divisors is an integer number (284668889400).

Almost surely, 2^{53968369573872} is an apocalyptic number.

53968369573872 is a gapful number since it is divisible by the number (52) 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 53968369573872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91094044608000).

53968369573872 is an abundant number, since it is smaller than the sum of its proper divisors (128219719642128).

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

53968369573872 is a wasteful number, since it uses less digits than its factorization.

53968369573872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50686 (or 50674 counting only the distinct ones).

The product of its digits is 12345177600, while the sum is 81.

The spelling of 53968369573872 in words is "fifty-three trillion, nine hundred sixty-eight billion, three hundred sixty-nine million, five hundred seventy-three thousand, eight hundred seventy-two".