71008220795904 has 1760 divisors, whose sum is σ = 261852318604800. Its totient is φ = 18725798412288.

The previous prime is 71008220795887. The next prime is 71008220795921. The reversal of 71008220795904 is 40959702280017.

It is an interprime number because it is at equal distance from previous prime (71008220795887) and next prime (71008220795921).

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 (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67691344372 + ... + 67691345420.

It is an arithmetic number, because the mean of its divisors is an integer number (148779726480).

Almost surely, 2^{71008220795904} is an apocalyptic number.

71008220795904 is a gapful number since it is divisible by the number (74) 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 71008220795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130926159302400).

71008220795904 is an abundant number, since it is smaller than the sum of its proper divisors (190844097808896).

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

71008220795904 is a wasteful number, since it uses less digits than its factorization.

71008220795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 71008220795904 in words is "seventy-one trillion, eight billion, two hundred twenty million, seven hundred ninety-five thousand, nine hundred four".