811129950 has 240 divisors, whose sum is σ = 2419845120. Its totient is φ = 200854080.

The previous prime is 811129927. The next prime is 811129987. The reversal of 811129950 is 59921118.

811129950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6386787 + ... + 6386913.

It is an arithmetic number, because the mean of its divisors is an integer number (10082688).

Almost surely, 2^811129950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811129950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209922560).

811129950 is an abundant number, since it is smaller than the sum of its proper divisors (1608715170).

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

811129950 is a wasteful number, since it uses less digits than its factorization.

811129950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 811129950 is about 28480.3432212465. The cubic root of 811129950 is about 932.6030093184.

The spelling of 811129950 in words is "eight hundred eleven million, one hundred twenty-nine thousand, nine hundred fifty".