71748825422500 has 120 divisors (see below), whose sum is σ = 166225356152856. Its totient is φ = 26995779840000.

The previous prime is 71748825422489. The next prime is 71748825422507. The reversal of 71748825422500 is 522452884717.

It can be written as a sum of positive squares in 20 ways, for example, as 69796366954084 + 1952458468416 = 8354422^2 + 1397304^2 .

It is not an unprimeable number, because it can be changed into a prime (71748825422507) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73507662 + ... + 74477338.

Almost surely, 2^{71748825422500} 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 71748825422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83112678076428).

71748825422500 is an abundant number, since it is smaller than the sum of its proper divisors (94476530730356).

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

71748825422500 is a wasteful number, since it uses less digits than its factorization.

71748825422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971459 (or 971442 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 55.

The spelling of 71748825422500 in words is "seventy-one trillion, seven hundred forty-eight billion, eight hundred twenty-five million, four hundred twenty-two thousand, five hundred".