71799004260 has 120 divisors (see below), whose sum is σ = 225522795960. Its totient is φ = 19122034176.

The previous prime is 71799004187. The next prime is 71799004301. The reversal of 71799004260 is 6240099717.

71799004260 is a `hidden beast` number, since 71 + 79 + 90 + 0 + 426 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2128345956 + 69670658304 = 46134^2 + 263952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1263336 + ... + 1318944.

It is an arithmetic number, because the mean of its divisors is an integer number (1879356633).

Almost surely, 2^71799004260 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 71799004260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112761397980).

71799004260 is an abundant number, since it is smaller than the sum of its proper divisors (153723791700).

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

71799004260 is a wasteful number, since it uses less digits than its factorization.

71799004260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56427 (or 56416 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 71799004260 in words is "seventy-one billion, seven hundred ninety-nine million, four thousand, two hundred sixty".