71610007000 has 256 divisors, whose sum is σ = 198704563200. Its totient is φ = 23645260800.

The previous prime is 71610006991. The next prime is 71610007013. The reversal of 71610007000 is 70001617.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 21971371 + ... + 21974629.

It is an arithmetic number, because the mean of its divisors is an integer number (776189700).

Almost surely, 2^71610007000 is an apocalyptic number.

71610007000 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 71610007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99352281600).

71610007000 is an abundant number, since it is smaller than the sum of its proper divisors (127094556200).

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

71610007000 is a wasteful number, since it uses less digits than its factorization.

71610007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

Adding to 71610007000 its reverse (70001617), we get a palindrome (71680008617).

The spelling of 71610007000 in words is "seventy-one billion, six hundred ten million, seven thousand".