71191051008000 has 2304 divisors, whose sum is σ = 302301480499200. Its totient is φ = 14708736000000.

The previous prime is 71191051007963. The next prime is 71191051008001. The reversal of 71191051008000 is 80015019117.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71191051008001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94795007625 + ... + 94795008375.

It is an arithmetic number, because the mean of its divisors is an integer number (131207239800).

Almost surely, 2^{71191051008000} is an apocalyptic number.

71191051008000 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 71191051008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151150740249600).

71191051008000 is an abundant number, since it is smaller than the sum of its proper divisors (231110429491200).

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

71191051008000 is a wasteful number, since it uses less digits than its factorization.

71191051008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 33.

The spelling of 71191051008000 in words is "seventy-one trillion, one hundred ninety-one billion, fifty-one million, eight thousand".