71026628220 has 192 divisors, whose sum is σ = 223633872000. Its totient is φ = 18713640960.

The previous prime is 71026628213. The next prime is 71026628221. The reversal of 71026628220 is 2282662017.

71026628220 is a `hidden beast` number, since 7 + 1 + 0 + 2 + 6 + 628 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71026628221) 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, 15848380 + ... + 15852860.

It is an arithmetic number, because the mean of its divisors is an integer number (1164759750).

Almost surely, 2^71026628220 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 71026628220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111816936000).

71026628220 is an abundant number, since it is smaller than the sum of its proper divisors (152607243780).

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

71026628220 is a wasteful number, since it uses less digits than its factorization.

71026628220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 71026628220 in words is "seventy-one billion, twenty-six million, six hundred twenty-eight thousand, two hundred twenty".