53078178945792 has 3456 divisors, whose sum is σ = 211799852974080. Its totient is φ = 11412430848000.

The previous prime is 53078178945769. The next prime is 53078178945793. The reversal of 53078178945792 is 29754987187035.

It is not an unprimeable number, because it can be changed into a prime (53078178945793) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 417938416833 + ... + 417938416959.

It is an arithmetic number, because the mean of its divisors is an integer number (61284679680).

Almost surely, 2^{53078178945792} is an apocalyptic number.

53078178945792 is a gapful number since it is divisible by the number (52) 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 53078178945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105899926487040).

53078178945792 is an abundant number, since it is smaller than the sum of its proper divisors (158721674028288).

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

53078178945792 is a wasteful number, since it uses less digits than its factorization.

53078178945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 75.

The spelling of 53078178945792 in words is "fifty-three trillion, seventy-eight billion, one hundred seventy-eight million, nine hundred forty-five thousand, seven hundred ninety-two".