71396056800 has 720 divisors, whose sum is σ = 277223506560. Its totient is φ = 17830056960.

The previous prime is 71396056789. The next prime is 71396056829. The reversal of 71396056800 is 865069317.

It is a happy number.

71396056800 is a `hidden beast` number, since 7 + 1 + 39 + 605 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126813319 + ... + 126813881.

It is an arithmetic number, because the mean of its divisors is an integer number (385032648).

Almost surely, 2^71396056800 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 71396056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138611753280).

71396056800 is an abundant number, since it is smaller than the sum of its proper divisors (205827449760).

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

71396056800 is a wasteful number, since it uses less digits than its factorization.

71396056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 71396056800 in words is "seventy-one billion, three hundred ninety-six million, fifty-six thousand, eight hundred".