71485116000 has 192 divisors, whose sum is σ = 242261772480. Its totient is φ = 18405273600.

The previous prime is 71485115963. The next prime is 71485116011. The reversal of 71485116000 is 61158417.

It is a happy number.

It is a super-2 number, since 2×71485116000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 245292 + ... + 450708.

It is an arithmetic number, because the mean of its divisors is an integer number (1261780065).

Almost surely, 2^71485116000 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 71485116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121130886240).

71485116000 is an abundant number, since it is smaller than the sum of its proper divisors (170776656480).

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

71485116000 is a wasteful number, since it uses less digits than its factorization.

71485116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205474 (or 205456 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 71485116000 in words is "seventy-one billion, four hundred eighty-five million, one hundred sixteen thousand".