71287994868480 has 2880 divisors, whose sum is σ = 304428381143040. Its totient is φ = 15759689121792.

The previous prime is 71287994868449. The next prime is 71287994868491. The reversal of 71287994868480 is 8486849978217.

71287994868480 is a `hidden beast` number, since 7 + 1 + 2 + 8 + 7 + 99 + 48 + 6 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 71287994868480.

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 319 ways as a sum of consecutive naturals, for example, 74803771684 + ... + 74803772636.

It is an arithmetic number, because the mean of its divisors is an integer number (105704299008).

Almost surely, 2^{71287994868480} 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 71287994868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152214190571520).

71287994868480 is an abundant number, since it is smaller than the sum of its proper divisors (233140386274560).

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

71287994868480 is a wasteful number, since it uses less digits than its factorization.

71287994868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3121348608, while the sum is 81.

The spelling of 71287994868480 in words is "seventy-one trillion, two hundred eighty-seven billion, nine hundred ninety-four million, eight hundred sixty-eight thousand, four hundred eighty".