53760793680 has 240 divisors, whose sum is σ = 198591307200. Its totient is φ = 13032687360.

The previous prime is 53760793673. The next prime is 53760793729. The reversal of 53760793680 is 8639706735.

53760793680 is a `hidden beast` number, since 537 + 6 + 0 + 79 + 36 + 8 + 0 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930271 + ... + 986369.

It is an arithmetic number, because the mean of its divisors is an integer number (827463780).

Almost surely, 2^53760793680 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 53760793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99295653600).

53760793680 is an abundant number, since it is smaller than the sum of its proper divisors (144830513520).

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

53760793680 is a wasteful number, since it uses less digits than its factorization.

53760793680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56151 (or 56120 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 53760793680 in words is "fifty-three billion, seven hundred sixty million, seven hundred ninety-three thousand, six hundred eighty".