71785700250 has 768 divisors, whose sum is σ = 229456281600. Its totient is φ = 14826240000.

The previous prime is 71785700237. The next prime is 71785700251. The reversal of 71785700250 is 5200758717.

It is not an unprimeable number, because it can be changed into a prime (71785700251) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 908679711 + ... + 908679789.

It is an arithmetic number, because the mean of its divisors is an integer number (298771200).

Almost surely, 2^71785700250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71785700250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114728140800).

71785700250 is an abundant number, since it is smaller than the sum of its proper divisors (157670581350).

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

71785700250 is a wasteful number, since it uses less digits than its factorization.

71785700250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 42.

The spelling of 71785700250 in words is "seventy-one billion, seven hundred eighty-five million, seven hundred thousand, two hundred fifty".