71257084128 has 240 divisors, whose sum is σ = 229548044880. Its totient is φ = 21583908864.

The previous prime is 71257084121. The next prime is 71257084163. The reversal of 71257084128 is 82148075217.

71257084128 is a `hidden beast` number, since 7 + 12 + 570 + 8 + 41 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71257084121) 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 39 ways as a sum of consecutive naturals, for example, 1249975 + ... + 1305737.

It is an arithmetic number, because the mean of its divisors is an integer number (956450187).

Almost surely, 2^71257084128 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 71257084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114774022440).

71257084128 is an abundant number, since it is smaller than the sum of its proper divisors (158290960752).

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

71257084128 is a wasteful number, since it uses less digits than its factorization.

71257084128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55831 (or 55814 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 71257084128 in words is "seventy-one billion, two hundred fifty-seven million, eighty-four thousand, one hundred twenty-eight".