10834326921600 has 2304 divisors, whose sum is σ = 49135468462080. Its totient is φ = 2212255825920.

The previous prime is 10834326921581. The next prime is 10834326921601. The reversal of 10834326921600 is 612962343801.

10834326921600 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 32 + 6 + 9 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834326921601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14312188422 + ... + 14312189178.

Almost surely, 2^{10834326921600} is an apocalyptic number.

10834326921600 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 10834326921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24567734231040).

10834326921600 is an abundant number, since it is smaller than the sum of its proper divisors (38301141540480).

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

10834326921600 is a wasteful number, since it uses less digits than its factorization.

10834326921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10834326921600 in words is "ten trillion, eight hundred thirty-four billion, three hundred twenty-six million, nine hundred twenty-one thousand, six hundred".