53256378040320 has 2880 divisors, whose sum is σ = 229891845980160. Its totient is φ = 10268599910400.

The previous prime is 53256378040291. The next prime is 53256378040367. The reversal of 53256378040320 is 2304087365235.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53256378040320.

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, 171242372965 + ... + 171242373275.

It is an arithmetic number, because the mean of its divisors is an integer number (79823557632).

Almost surely, 2^{53256378040320} 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 53256378040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114945922990080).

53256378040320 is an abundant number, since it is smaller than the sum of its proper divisors (176635467939840).

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

53256378040320 is a wasteful number, since it uses less digits than its factorization.

53256378040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 53256378040320 in words is "fifty-three trillion, two hundred fifty-six billion, three hundred seventy-eight million, forty thousand, three hundred twenty".