71348583720960 has 2304 divisors, whose sum is σ = 309901741793280. Its totient is φ = 14781815193600.

The previous prime is 71348583720959. The next prime is 71348583721033. The reversal of 71348583720960 is 6902738584317.

71348583720960 is a `hidden beast` number, since 7 + 1 + 3 + 48 + 583 + 7 + 2 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 130436167407 + ... + 130436167953.

It is an arithmetic number, because the mean of its divisors is an integer number (134505964320).

It is a 1-persistent number, because it is pandigital, but 2⋅71348583720960 = 142697167441920 is not.

Almost surely, 2^{71348583720960} is an apocalyptic number.

71348583720960 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 71348583720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154950870896640).

71348583720960 is an abundant number, since it is smaller than the sum of its proper divisors (238553158072320).

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

71348583720960 is a wasteful number, since it uses less digits than its factorization.

71348583720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 71348583720960 in words is "seventy-one trillion, three hundred forty-eight billion, five hundred eighty-three million, seven hundred twenty thousand, nine hundred sixty".