71231546880 has 320 divisors, whose sum is σ = 272486934720. Its totient is φ = 17533698048.

The previous prime is 71231546863. The next prime is 71231546887. The reversal of 71231546880 is 8864513217.

71231546880 is a `hidden beast` number, since 7 + 1 + 23 + 1 + 546 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71231546887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858924 + ... + 938196.

It is an arithmetic number, because the mean of its divisors is an integer number (851521671).

Almost surely, 2^71231546880 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 71231546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136243467360).

71231546880 is an abundant number, since it is smaller than the sum of its proper divisors (201255387840).

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

71231546880 is a wasteful number, since it uses less digits than its factorization.

71231546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79318 (or 79296 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 71231546880 in words is "seventy-one billion, two hundred thirty-one million, five hundred forty-six thousand, eight hundred eighty".