10834630560000 has 1215 divisors, whose sum is σ = 42471187195437. Its totient is φ = 2654346240000.

The previous prime is 10834630559993. The next prime is 10834630560029. The reversal of 10834630560000 is 6503643801.

The square root of 10834630560000 is 3291600.

It is a perfect power (a square), and thus also a powerful number.

10834630560000 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 46 + 3 + 0 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 10701691566336 + 132938993664 = 3271344^2 + 364608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 134 ways as a sum of consecutive naturals, for example, 51348959895 + ... + 51348960105.

Almost surely, 2^{10834630560000} is an apocalyptic number.

10834630560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10834630560000 is the 3291600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834630560000

10834630560000 is an abundant number, since it is smaller than the sum of its proper divisors (31636556635437).

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

10834630560000 is an frugal number, since it uses more digits than its factorization.

10834630560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 10834630560000 by its sum of digits (36), we get a square (390046700160000 = 19749600²).

10834630560000 divided by its sum of digits (36) gives a square (300961960000 = 548600²).

The spelling of 10834630560000 in words is "ten trillion, eight hundred thirty-four billion, six hundred thirty million, five hundred sixty thousand".