10834236000 has 960 divisors, whose sum is σ = 48290546304. Its totient is φ = 2322432000.

The previous prime is 10834235969. The next prime is 10834236041. The reversal of 10834236000 is 63243801.

It is a happy number.

10834236000 is a `hidden beast` number, since 1 + 0 + 8 + 34 + 23 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38555860 + ... + 38556140.

Almost surely, 2^10834236000 is an apocalyptic number.

10834236000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145273152).

10834236000 is an abundant number, since it is smaller than the sum of its proper divisors (37456310304).

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

10834236000 is a wasteful number, since it uses less digits than its factorization.

10834236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10834236000 its reverse (63243801), we get a palindrome (10897479801).

The spelling of 10834236000 in words is "ten billion, eight hundred thirty-four million, two hundred thirty-six thousand".