53159872768000 has 384 divisors, whose sum is σ = 138725824124160. Its totient is φ = 20294826393600.

The previous prime is 53159872767983. The next prime is 53159872768003. The reversal of 53159872768000 is 86727895135.

It is a self number, because there is not a number n which added to its sum of digits gives 53159872768000.

It is not an unprimeable number, because it can be changed into a prime (53159872768003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2749686334 + ... + 2749705666.

It is an arithmetic number, because the mean of its divisors is an integer number (361265166990).

Almost surely, 2^{53159872768000} is an apocalyptic number.

53159872768000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53159872768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69362912062080).

53159872768000 is an abundant number, since it is smaller than the sum of its proper divisors (85565951356160).

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

53159872768000 is a wasteful number, since it uses less digits than its factorization.

53159872768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19860 (or 19830 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 53159872768000 in words is "fifty-three trillion, one hundred fifty-nine billion, eight hundred seventy-two million, seven hundred sixty-eight thousand".