71486128896 has 288 divisors, whose sum is σ = 234627391488. Its totient is φ = 18816122880.

The previous prime is 71486128891. The next prime is 71486128907. The reversal of 71486128896 is 69882168417.

It is a super-2 number, since 2×71486128896² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (71486128891) 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, 65764065 + ... + 65765151.

Almost surely, 2^71486128896 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 71486128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117313695744).

71486128896 is an abundant number, since it is smaller than the sum of its proper divisors (163141262592).

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

71486128896 is a wasteful number, since it uses less digits than its factorization.

71486128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2053 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The spelling of 71486128896 in words is "seventy-one billion, four hundred eighty-six million, one hundred twenty-eight thousand, eight hundred ninety-six".