71127757561512 has 128 divisors (see below), whose sum is σ = 189574058880000. Its totient is φ = 22174687535616.

The previous prime is 71127757561477. The next prime is 71127757561543. The reversal of 71127757561512 is 21516575772117.

It is a happy number.

71127757561512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71127757561512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24903439 + ... + 27612257.

It is an arithmetic number, because the mean of its divisors is an integer number (1481047335000).

Almost surely, 2^{71127757561512} 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 71127757561512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94787029440000).

71127757561512 is an abundant number, since it is smaller than the sum of its proper divisors (118446301318488).

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

71127757561512 is a wasteful number, since it uses less digits than its factorization.

71127757561512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709583 (or 2709579 counting only the distinct ones).

The product of its digits is 7203000, while the sum is 57.

The spelling of 71127757561512 in words is "seventy-one trillion, one hundred twenty-seven billion, seven hundred fifty-seven million, five hundred sixty-one thousand, five hundred twelve".