71217647081280 has 672 divisors, whose sum is σ = 290499675088896. Its totient is φ = 16268347017216.

The previous prime is 71217647081249. The next prime is 71217647081293. The reversal of 71217647081280 is 8218074671217.

It is a happy number.

71217647081280 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 76 + 470 + 81 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 907342197 + ... + 907420683.

It is an arithmetic number, because the mean of its divisors is an integer number (432291183168).

Almost surely, 2^{71217647081280} is an apocalyptic number.

71217647081280 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 71217647081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145249837544448).

71217647081280 is an abundant number, since it is smaller than the sum of its proper divisors (219282028007616).

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

71217647081280 is a wasteful number, since it uses less digits than its factorization.

71217647081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80193 (or 80171 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 71217647081280 in words is "seventy-one trillion, two hundred seventeen billion, six hundred forty-seven million, eighty-one thousand, two hundred eighty".