71870835916800 has 1224 divisors, whose sum is σ = 273656099765880. Its totient is φ = 17968398336000.

The previous prime is 71870835916793. The next prime is 71870835916819. The reversal of 71870835916800 is 861953807817.

It can be written as a sum of positive squares in 12 ways, for example, as 255372558336 + 71615463358464 = 505344^2 + 8462592^2 .

It is a tau number, because it is divible by the number of its divisors (1224).

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 71 ways as a sum of consecutive naturals, for example, 102526156450 + ... + 102526157150.

Almost surely, 2^{71870835916800} 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 71870835916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136828049882940).

71870835916800 is an abundant number, since it is smaller than the sum of its proper divisors (201785263849080).

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

71870835916800 is a wasteful number, since it uses less digits than its factorization.

71870835916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 71870835916800 in words is "seventy-one trillion, eight hundred seventy billion, eight hundred thirty-five million, nine hundred sixteen thousand, eight hundred".