53546144256 has 640 divisors, whose sum is σ = 183908229120. Its totient is φ = 15228518400.

The previous prime is 53546144209. The next prime is 53546144257. The reversal of 53546144256 is 65244164535.

53546144256 is a `hidden beast` number, since 5 + 3 + 5 + 4 + 614 + 4 + 25 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (53546144257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174417255 + ... + 174417561.

It is an arithmetic number, because the mean of its divisors is an integer number (287356608).

Almost surely, 2^53546144256 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 53546144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91954114560).

53546144256 is an abundant number, since it is smaller than the sum of its proper divisors (130362084864).

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

53546144256 is a wasteful number, since it uses less digits than its factorization.

53546144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 391 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 53546144256 in words is "fifty-three billion, five hundred forty-six million, one hundred forty-four thousand, two hundred fifty-six".