71753891274001 has 8 divisors (see below), whose sum is σ = 73501620461280. Its totient is φ = 70009754543232.

The previous prime is 71753891273993. The next prime is 71753891274047. The reversal of 71753891274001 is 10047219835717.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71753891274001 - 2³ = 71753891273993 is a prime.

It is a super-2 number, since 2×71753891274001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71753891274061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 898073695 + ... + 898153588.

It is an arithmetic number, because the mean of its divisors is an integer number (9187702557660).

Almost surely, 2^{71753891274001} is an apocalyptic number.

It is an amenable number.

71753891274001 is a deficient number, since it is larger than the sum of its proper divisors (1747729187279).

71753891274001 is a wasteful number, since it uses less digits than its factorization.

71753891274001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796228255.

The product of its (nonzero) digits is 2963520, while the sum is 55.

The spelling of 71753891274001 in words is "seventy-one trillion, seven hundred fifty-three billion, eight hundred ninety-one million, two hundred seventy-four thousand, one".