71131803288 has 256 divisors, whose sum is σ = 224651750400. Its totient is φ = 18269521920.

The previous prime is 71131803241. The next prime is 71131803313. The reversal of 71131803288 is 88230813117.

It is a super-2 number, since 2×71131803288² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 16087318 + ... + 16091738.

It is an arithmetic number, because the mean of its divisors is an integer number (877545900).

Almost surely, 2^71131803288 is an apocalyptic number.

71131803288 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71131803288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112325875200).

71131803288 is an abundant number, since it is smaller than the sum of its proper divisors (153519947112).

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

71131803288 is a wasteful number, since it uses less digits than its factorization.

71131803288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 71131803288 in words is "seventy-one billion, one hundred thirty-one million, eight hundred three thousand, two hundred eighty-eight".