53768798160 has 640 divisors, whose sum is σ = 227176316928. Its totient is φ = 10174464000.

The previous prime is 53768798119. The next prime is 53768798173. The reversal of 53768798160 is 6189786735.

It is a Cunningham number, because it is equal to 231881²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 53768798094 and 53768798103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9736200 + ... + 9741720.

Almost surely, 2^53768798160 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 53768798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113588158464).

53768798160 is an abundant number, since it is smaller than the sum of its proper divisors (173407518768).

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

53768798160 is a wasteful number, since it uses less digits than its factorization.

53768798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 53768798160 in words is "fifty-three billion, seven hundred sixty-eight million, seven hundred ninety-eight thousand, one hundred sixty".