71100478800 has 360 divisors, whose sum is σ = 266279899704. Its totient is φ = 17464688640.

The previous prime is 71100478793. The next prime is 71100478817. The reversal of 71100478800 is 887400117.

71100478800 is a `hidden beast` number, since 7 + 1 + 100 + 478 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 20275481664 + 50824997136 = 142392^2 + 225444^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27002284 + ... + 27004916.

Almost surely, 2^71100478800 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 71100478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133139949852).

71100478800 is an abundant number, since it is smaller than the sum of its proper divisors (195179420904).

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

71100478800 is a wasteful number, since it uses less digits than its factorization.

71100478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 71100478800 its reverse (887400117), we get a palindrome (71987878917).

The spelling of 71100478800 in words is "seventy-one billion, one hundred million, four hundred seventy-eight thousand, eight hundred".