71039928960 has 1920 divisors, whose sum is σ = 350082311040. Its totient is φ = 13257768960.

The previous prime is 71039928959. The next prime is 71039929019. The reversal of 71039928960 is 6982993017.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 71039928897 and 71039928906.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 1919998062 + ... + 1919998098.

It is an arithmetic number, because the mean of its divisors is an integer number (182334537).

Almost surely, 2^71039928960 is an apocalyptic number.

71039928960 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 71039928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175041155520).

71039928960 is an abundant number, since it is smaller than the sum of its proper divisors (279042382080).

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

71039928960 is a wasteful number, since it uses less digits than its factorization.

71039928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

It can be divided in two parts, 71039 and 928960, that added together give a palindrome (999999).

The spelling of 71039928960 in words is "seventy-one billion, thirty-nine million, nine hundred twenty-eight thousand, nine hundred sixty".