71127323135232 has 1728 divisors, whose sum is σ = 254145890880000. Its totient is φ = 17610648846336.

The previous prime is 71127323135189. The next prime is 71127323135243. The reversal of 71127323135232 is 23253132372117.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47768517144 + ... + 47768518632.

Almost surely, 2^{71127323135232} 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 71127323135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127072945440000).

71127323135232 is an abundant number, since it is smaller than the sum of its proper divisors (183018567744768).

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

71127323135232 is a wasteful number, since it uses less digits than its factorization.

71127323135232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1580 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The spelling of 71127323135232 in words is "seventy-one trillion, one hundred twenty-seven billion, three hundred twenty-three million, one hundred thirty-five thousand, two hundred thirty-two".