85126441950 has 864 divisors, whose sum is σ = 288825264000. Its totient is φ = 17749670400.

The previous prime is 85126441913. The next prime is 85126441963. The reversal of 85126441950 is 5914462158.

85126441950 is a `hidden beast` number, since 8 + 512 + 6 + 4 + 41 + 95 + 0 = 666.

It is a super-3 number, since 3×85126441950³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85126441896 and 85126441905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1442821021 + ... + 1442821079.

It is an arithmetic number, because the mean of its divisors is an integer number (334288500).

Almost surely, 2^85126441950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85126441950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144412632000).

85126441950 is an abundant number, since it is smaller than the sum of its proper divisors (203698822050).

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

85126441950 is a wasteful number, since it uses less digits than its factorization.

85126441950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

It can be divided in two parts, 85126 and 441950, that added together give a square (527076 = 726²).

The spelling of 85126441950 in words is "eighty-five billion, one hundred twenty-six million, four hundred forty-one thousand, nine hundred fifty".