850525138944 has 832 divisors, whose sum is σ = 2848171898880. Its totient is φ = 249070878720.

The previous prime is 850525138871. The next prime is 850525138949. The reversal of 850525138944 is 449831525058.

850525138944 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 2 + 513 + 89 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is not an unprimeable number, because it can be changed into a prime (850525138949) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2770440039 + ... + 2770440345.

Almost surely, 2^850525138944 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 850525138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424085949440).

850525138944 is an abundant number, since it is smaller than the sum of its proper divisors (1997646759936).

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

850525138944 is a wasteful number, since it uses less digits than its factorization.

850525138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 850525138944 in words is "eight hundred fifty billion, five hundred twenty-five million, one hundred thirty-eight thousand, nine hundred forty-four".