71140500288 has 896 divisors, whose sum is σ = 261521326080. Its totient is φ = 18662400000.

The previous prime is 71140500247. The next prime is 71140500401. The reversal of 71140500288 is 88200504117.

71140500288 is a `hidden beast` number, since 7 + 1 + 140 + 500 + 2 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 283428163 + ... + 283428413.

It is an arithmetic number, because the mean of its divisors is an integer number (291876480).

Almost surely, 2^71140500288 is an apocalyptic number.

71140500288 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 71140500288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130760663040).

71140500288 is an abundant number, since it is smaller than the sum of its proper divisors (190380825792).

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

71140500288 is a wasteful number, since it uses less digits than its factorization.

71140500288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 71140500288 in words is "seventy-one billion, one hundred forty million, five hundred thousand, two hundred eighty-eight".