71960882112 has 1120 divisors, whose sum is σ = 274393152000. Its totient is φ = 18184642560.

The previous prime is 71960882089. The next prime is 71960882219. The reversal of 71960882112 is 21128806917.

71960882112 is a `hidden beast` number, since 7 + 1 + 9 + 608 + 8 + 21 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1179686562 + ... + 1179686622.

Almost surely, 2^71960882112 is an apocalyptic number.

71960882112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71960882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137196576000).

71960882112 is an abundant number, since it is smaller than the sum of its proper divisors (202432269888).

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

71960882112 is a wasteful number, since it uses less digits than its factorization.

71960882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 71960882112 in words is "seventy-one billion, nine hundred sixty million, eight hundred eighty-two thousand, one hundred twelve".