851001164100 has 216 divisors, whose sum is σ = 2699728956288. Its totient is φ = 224194464000.

The previous prime is 851001164081. The next prime is 851001164113. The reversal of 851001164100 is 1461100158.

851001164100 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 0 + 11 + 641 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 42440277 + ... + 42460323.

It is an arithmetic number, because the mean of its divisors is an integer number (12498745168).

Almost surely, 2^851001164100 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 851001164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349864478144).

851001164100 is an abundant number, since it is smaller than the sum of its proper divisors (1848727792188).

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

851001164100 is a wasteful number, since it uses less digits than its factorization.

851001164100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20635 (or 20625 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 851001164100 its reverse (1461100158), we get a palindrome (852462264258).

It can be divided in two parts, 851001 and 164100, that added together give a palindrome (1015101).

The spelling of 851001164100 in words is "eight hundred fifty-one billion, one million, one hundred sixty-four thousand, one hundred".