71010680832000 has 3840 divisors, whose sum is σ = 333436783680000. Its totient is φ = 14982473318400.

The previous prime is 71010680831971. The next prime is 71010680832019. The reversal of 71010680832000 is 23808601017.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5462360063994 + ... + 5462360064006.

It is an arithmetic number, because the mean of its divisors is an integer number (86832495750).

Almost surely, 2^{71010680832000} is an apocalyptic number.

71010680832000 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 71010680832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166718391840000).

71010680832000 is an abundant number, since it is smaller than the sum of its proper divisors (262426102848000).

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

71010680832000 is an frugal number, since it uses more digits than its factorization.

71010680832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 71010680832000 in words is "seventy-one trillion, ten billion, six hundred eighty million, eight hundred thirty-two thousand".