53791081344 has 1280 divisors, whose sum is σ = 220947471360. Its totient is φ = 12541132800.

The previous prime is 53791081307. The next prime is 53791081361. The reversal of 53791081344 is 44318019735.

53791081344 is a `hidden beast` number, since 537 + 9 + 1 + 0 + 81 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53791081344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 736864092 + ... + 736864164.

It is an arithmetic number, because the mean of its divisors is an integer number (172615212).

Almost surely, 2^53791081344 is an apocalyptic number.

53791081344 is a gapful number since it is divisible by the number (54) 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 53791081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110473735680).

53791081344 is an abundant number, since it is smaller than the sum of its proper divisors (167156390016).

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

53791081344 is a wasteful number, since it uses less digits than its factorization.

53791081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 53791081344 in words is "fifty-three billion, seven hundred ninety-one million, eighty-one thousand, three hundred forty-four".