851116410 has 80 divisors (see below), whose sum is σ = 2322863136. Its totient is φ = 223562592.

The previous prime is 851116391. The next prime is 851116411. The reversal of 851116410 is 14611158.

851116410 is a `hidden beast` number, since 8 + 5 + 1 + 11 + 641 + 0 = 666.

851116410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (851116411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46429 + ... + 62111.

Almost surely, 2^851116410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 851116410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161431568).

851116410 is an abundant number, since it is smaller than the sum of its proper divisors (1471746726).

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

851116410 is a wasteful number, since it uses less digits than its factorization.

851116410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15760 counting only the distinct ones).

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

The square root of 851116410 is about 29173.8994651041. The cubic root of 851116410 is about 947.6827772138.

Adding to 851116410 its reverse (14611158), we get a palindrome (865727568).

The spelling of 851116410 in words is "eight hundred fifty-one million, one hundred sixteen thousand, four hundred ten".