71916261626880 has 704 divisors, whose sum is σ = 281686644207360. Its totient is φ = 17254475366400.

The previous prime is 71916261626831. The next prime is 71916261626921. The reversal of 71916261626880 is 8862616261917.

71916261626880 is a `hidden beast` number, since 7 + 1 + 9 + 1 + 6 + 2 + 616 + 2 + 6 + 8 + 8 + 0 = 666.

71916261626880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 147258300 + ... + 147745860.

Almost surely, 2^{71916261626880} 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 71916261626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140843322103680).

71916261626880 is an abundant number, since it is smaller than the sum of its proper divisors (209770382580480).

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

71916261626880 is a wasteful number, since it uses less digits than its factorization.

71916261626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487703 (or 487679 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 71916261626880 in words is "seventy-one trillion, nine hundred sixteen billion, two hundred sixty-one million, six hundred twenty-six thousand, eight hundred eighty".