71841688360000 has 560 divisors, whose sum is σ = 194046945700608. Its totient is φ = 26222976000000.

The previous prime is 71841688359923. The next prime is 71841688360033. The reversal of 71841688360000 is 6388614817.

71841688360000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71841688360000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 71841688360000.

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 79 ways as a sum of consecutive naturals, for example, 55220359350 + ... + 55220360650.

Almost surely, 2^{71841688360000} 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 71841688360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97023472850304).

71841688360000 is an abundant number, since it is smaller than the sum of its proper divisors (122205257340608).

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

71841688360000 is a wasteful number, since it uses less digits than its factorization.

71841688360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 71841688360000 in words is "seventy-one trillion, eight hundred forty-one billion, six hundred eighty-eight million, three hundred sixty thousand".