653080541853168 has 1600 divisors, whose sum is σ = 2386538371768320. Its totient is φ = 169596874137600.

The previous prime is 653080541853151. The next prime is 653080541853191. The reversal of 653080541853168 is 861358145080356.

653080541853168 is a `hidden beast` number, since 6 + 5 + 3 + 0 + 8 + 0 + 5 + 418 + 53 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26157737421 + ... + 26157762387.

Almost surely, 2^{653080541853168} 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 653080541853168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193269185884160).

653080541853168 is an abundant number, since it is smaller than the sum of its proper divisors (1733457829915152).

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

653080541853168 is a wasteful number, since it uses less digits than its factorization.

653080541853168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25228 (or 25213 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 653080541853168 in words is "six hundred fifty-three trillion, eighty billion, five hundred forty-one million, eight hundred fifty-three thousand, one hundred sixty-eight".