71055824256 has 576 divisors, whose sum is σ = 234479232000. Its totient is φ = 20582940672.

The previous prime is 71055824251. The next prime is 71055824263. The reversal of 71055824256 is 65242855017.

71055824256 is a `hidden beast` number, since 7 + 1 + 0 + 558 + 2 + 42 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71055824251) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 297304585 + ... + 297304823.

It is an arithmetic number, because the mean of its divisors is an integer number (407082000).

Almost surely, 2^71055824256 is an apocalyptic number.

71055824256 is a gapful number since it is divisible by the number (76) 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 71055824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117239616000).

71055824256 is an abundant number, since it is smaller than the sum of its proper divisors (163423407744).

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

71055824256 is a wasteful number, since it uses less digits than its factorization.

71055824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 71055824256 in words is "seventy-one billion, fifty-five million, eight hundred twenty-four thousand, two hundred fifty-six".