53768146048110 has 384 divisors, whose sum is σ = 154667804054400. Its totient is φ = 12878559498240.

The previous prime is 53768146048069. The next prime is 53768146048147. The reversal of 53768146048110 is 1184064186735.

53768146048110 is a `hidden beast` number, since 5 + 3 + 7 + 6 + 8 + 14 + 604 + 8 + 1 + 10 = 666.

It is a super-3 number, since 3×53768146048110³ (a number of 42 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2734751680 + ... + 2734771340.

It is an arithmetic number, because the mean of its divisors is an integer number (402780739725).

Almost surely, 2^{53768146048110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53768146048110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77333902027200).

53768146048110 is an abundant number, since it is smaller than the sum of its proper divisors (100899658006290).

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

53768146048110 is a wasteful number, since it uses less digits than its factorization.

53768146048110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20148 (or 20145 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 53768146048110 in words is "fifty-three trillion, seven hundred sixty-eight billion, one hundred forty-six million, forty-eight thousand, one hundred ten".