71749285845120 has 384 divisors, whose sum is σ = 270800028757440. Its totient is φ = 17397759025152.

The previous prime is 71749285845037. The next prime is 71749285845143. The reversal of 71749285845120 is 2154858294717.

71749285845120 is a `hidden beast` number, since 7 + 1 + 7 + 4 + 9 + 28 + 584 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2133714 + ... + 12167633.

Almost surely, 2^{71749285845120} 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 71749285845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135400014378720).

71749285845120 is an abundant number, since it is smaller than the sum of its proper divisors (199050742912320).

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

71749285845120 is a wasteful number, since it uses less digits than its factorization.

71749285845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14301452 (or 14301437 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 71749285845120 in words is "seventy-one trillion, seven hundred forty-nine billion, two hundred eighty-five million, eight hundred forty-five thousand, one hundred twenty".