71275220398080 has 312 divisors, whose sum is σ = 247548758210208. Its totient is φ = 18968914034688.

The previous prime is 71275220398079. The next prime is 71275220398181. The reversal of 71275220398080 is 8089302257217.

71275220398080 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 522 + 0 + 39 + 8 + 0 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92328574 + ... + 93097346.

It is an arithmetic number, because the mean of its divisors is an integer number (793425507084).

Almost surely, 2^{71275220398080} 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 71275220398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123774379105104).

71275220398080 is an abundant number, since it is smaller than the sum of its proper divisors (176273537812128).

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

71275220398080 is a wasteful number, since it uses less digits than its factorization.

71275220398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769311 (or 769286 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 71275220398080 in words is "seventy-one trillion, two hundred seventy-five billion, two hundred twenty million, three hundred ninety-eight thousand, eighty".