71147311200 has 288 divisors, whose sum is σ = 294076177920. Its totient is φ = 16262208000.

The previous prime is 71147311187. The next prime is 71147311271. The reversal of 71147311200 is 211374117.

71147311200 is a `hidden beast` number, since 7 + 1 + 147 + 311 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 84076 + ... + 386475.

It is an arithmetic number, because the mean of its divisors is an integer number (1021097840).

Almost surely, 2^71147311200 is an apocalyptic number.

71147311200 is a gapful number since it is divisible by the number (70) 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 71147311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147038088960).

71147311200 is an abundant number, since it is smaller than the sum of its proper divisors (222928866720).

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

71147311200 is a wasteful number, since it uses less digits than its factorization.

71147311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470587 (or 470568 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 71147311200 its reverse (211374117), we get a palindrome (71358685317).

The spelling of 71147311200 in words is "seventy-one billion, one hundred forty-seven million, three hundred eleven thousand, two hundred".