85011871950 has 576 divisors, whose sum is σ = 271036938240. Its totient is φ = 19502208000.

The previous prime is 85011871921. The next prime is 85011871993. The reversal of 85011871950 is 5917811058.

85011871950 is a `hidden beast` number, since 8 + 501 + 1 + 87 + 19 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 85011871896 and 85011871905.

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 287 ways as a sum of consecutive naturals, for example, 256833285 + ... + 256833615.

It is an arithmetic number, because the mean of its divisors is an integer number (470550240).

Almost surely, 2^85011871950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85011871950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135518469120).

85011871950 is an abundant number, since it is smaller than the sum of its proper divisors (186025066290).

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

85011871950 is a wasteful number, since it uses less digits than its factorization.

85011871950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 85011871950 in words is "eighty-five billion, eleven million, eight hundred seventy-one thousand, nine hundred fifty".