71128857928320 has 384 divisors, whose sum is σ = 249864162912000. Its totient is φ = 18642249990144.

The previous prime is 71128857928319. The next prime is 71128857928327. The reversal of 71128857928320 is 2382975882117.

71128857928320 is a `hidden beast` number, since 7 + 1 + 1 + 2 + 8 + 8 + 579 + 28 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (71128857928327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85195461 + ... + 86026299.

It is an arithmetic number, because the mean of its divisors is an integer number (650687924250).

Almost surely, 2^{71128857928320} 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 71128857928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124932081456000).

71128857928320 is an abundant number, since it is smaller than the sum of its proper divisors (178735304983680).

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

71128857928320 is a wasteful number, since it uses less digits than its factorization.

71128857928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831120 (or 831105 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 71128857928320 in words is "seventy-one trillion, one hundred twenty-eight billion, eight hundred fifty-seven million, nine hundred twenty-eight thousand, three hundred twenty".