53974814496768 has 576 divisors, whose sum is σ = 179349686006400. Its totient is φ = 16078687764480.

The previous prime is 53974814496703. The next prime is 53974814496791. The reversal of 53974814496768 is 86769441847935.

53974814496768 is a `hidden beast` number, since 5 + 3 + 9 + 7 + 48 + 14 + 496 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 322900380 + ... + 323067492.

It is an arithmetic number, because the mean of its divisors is an integer number (311370982650).

Almost surely, 2^{53974814496768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53974814496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89674843003200).

53974814496768 is an abundant number, since it is smaller than the sum of its proper divisors (125374871509632).

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

53974814496768 is a wasteful number, since it uses less digits than its factorization.

53974814496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167220 (or 167188 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 53974814496768 in words is "fifty-three trillion, nine hundred seventy-four billion, eight hundred fourteen million, four hundred ninety-six thousand, seven hundred sixty-eight".