71275752028160 has 384 divisors, whose sum is σ = 178173934848000. Its totient is φ = 27335847444480.

The previous prime is 71275752028127. The next prime is 71275752028163. The reversal of 71275752028160 is 6182025757217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71275752028163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18058207307 + ... + 18058211253.

It is an arithmetic number, because the mean of its divisors is an integer number (463994622000).

Almost surely, 2^{71275752028160} 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 71275752028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89086967424000).

71275752028160 is an abundant number, since it is smaller than the sum of its proper divisors (106898182819840).

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

71275752028160 is a wasteful number, since it uses less digits than its factorization.

71275752028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517 (or 4497 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 53.

The spelling of 71275752028160 in words is "seventy-one trillion, two hundred seventy-five billion, seven hundred fifty-two million, twenty-eight thousand, one hundred sixty".