71271888930 has 128 divisors (see below), whose sum is σ = 208014428160. Its totient is φ = 17221533120.

The previous prime is 71271888907. The next prime is 71271888937. The reversal of 71271888930 is 3988817217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71271888937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872707 + ... + 950873.

It is an arithmetic number, because the mean of its divisors is an integer number (1625112720).

Almost surely, 2^71271888930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71271888930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104007214080).

71271888930 is an abundant number, since it is smaller than the sum of its proper divisors (136742539230).

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

71271888930 is a wasteful number, since it uses less digits than its factorization.

71271888930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78501 (or 78495 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 71271888930 in words is "seventy-one billion, two hundred seventy-one million, eight hundred eighty-eight thousand, nine hundred thirty".