53705120126640 has 320 divisors, whose sum is σ = 170236896141312. Its totient is φ = 14002398720000.

The previous prime is 53705120126617. The next prime is 53705120126657. The reversal of 53705120126640 is 4662102150735.

It is a junction number, because it is equal to n+sod(n) for n = 53705120126592 and 53705120126601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5868766065 + ... + 5868775215.

Almost surely, 2^{53705120126640} 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 53705120126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85118448070656).

53705120126640 is an abundant number, since it is smaller than the sum of its proper divisors (116531776014672).

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

53705120126640 is a wasteful number, since it uses less digits than its factorization.

53705120126640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12268 (or 12262 counting only the distinct ones).

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

The spelling of 53705120126640 in words is "fifty-three trillion, seven hundred five billion, one hundred twenty million, one hundred twenty-six thousand, six hundred forty".