71988056140 has 192 divisors, whose sum is σ = 213660195840. Its totient is φ = 19621647360.

The previous prime is 71988056123. The next prime is 71988056171. The reversal of 71988056140 is 4165088917.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285754 + ... + 475006.

It is an arithmetic number, because the mean of its divisors is an integer number (1112813520).

Almost surely, 2^71988056140 is an apocalyptic number.

71988056140 is a gapful number since it is divisible by the number (70) 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 71988056140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106830097920).

71988056140 is an abundant number, since it is smaller than the sum of its proper divisors (141672139700).

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

71988056140 is a wasteful number, since it uses less digits than its factorization.

71988056140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189312 (or 189310 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The spelling of 71988056140 in words is "seventy-one billion, nine hundred eighty-eight million, fifty-six thousand, one hundred forty".