53746368083760 has 320 divisors, whose sum is σ = 183190433918976. Its totient is φ = 12926960716800.

The previous prime is 53746368083719. The next prime is 53746368083783. The reversal of 53746368083760 is 6738086364735.

53746368083760 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 (66).

It is a junction number, because it is equal to n+sod(n) for n = 53746368083691 and 53746368083700.

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 63 ways as a sum of consecutive naturals, for example, 1730221989 + ... + 1730253051.

Almost surely, 2^{53746368083760} 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 53746368083760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91595216959488).

53746368083760 is an abundant number, since it is smaller than the sum of its proper divisors (129444065835216).

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

53746368083760 is a wasteful number, since it uses less digits than its factorization.

53746368083760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36224 (or 36218 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 53746368083760 in words is "fifty-three trillion, seven hundred forty-six billion, three hundred sixty-eight million, eighty-three thousand, seven hundred sixty".