71406265757552 has 80 divisors (see below), whose sum is σ = 151935318767232. Its totient is φ = 32241246716160.

The previous prime is 71406265757513. The next prime is 71406265757557. The reversal of 71406265757552 is 25575756260417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71406265757557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13576163 + ... + 18086589.

Almost surely, 2^{71406265757552} 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 71406265757552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75967659383616).

71406265757552 is an abundant number, since it is smaller than the sum of its proper divisors (80529053009680).

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

71406265757552 is a wasteful number, since it uses less digits than its factorization.

71406265757552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511046 (or 4511040 counting only the distinct ones).

The product of its (nonzero) digits is 123480000, while the sum is 62.

The spelling of 71406265757552 in words is "seventy-one trillion, four hundred six billion, two hundred sixty-five million, seven hundred fifty-seven thousand, five hundred fifty-two".