71785703088 has 640 divisors, whose sum is σ = 241591680000. Its totient is φ = 20457722880.

The previous prime is 71785703051. The next prime is 71785703107. The reversal of 71785703088 is 88030758717.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 658584378 + ... + 658584486.

It is an arithmetic number, because the mean of its divisors is an integer number (377487000).

Almost surely, 2^71785703088 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 71785703088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120795840000).

71785703088 is an abundant number, since it is smaller than the sum of its proper divisors (169805976912).

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

71785703088 is a wasteful number, since it uses less digits than its factorization.

71785703088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 71785703088 in words is "seventy-one billion, seven hundred eighty-five million, seven hundred three thousand, eighty-eight".