71139989760 has 576 divisors, whose sum is σ = 277024333824. Its totient is φ = 15187968000.

The previous prime is 71139989747. The next prime is 71139989773. The reversal of 71139989760 is 6798993117.

It is an interprime number because it is at equal distance from previous prime (71139989747) and next prime (71139989773).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 71139989694 and 71139989703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69000445 + ... + 69001475.

It is an arithmetic number, because the mean of its divisors is an integer number (480945024).

Almost surely, 2^71139989760 is an apocalyptic number.

71139989760 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 71139989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138512166912).

71139989760 is an abundant number, since it is smaller than the sum of its proper divisors (205884344064).

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

71139989760 is a wasteful number, since it uses less digits than its factorization.

71139989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 60.

The spelling of 71139989760 in words is "seventy-one billion, one hundred thirty-nine million, nine hundred eighty-nine thousand, seven hundred sixty".