10821078000 has 240 divisors, whose sum is σ = 40018751136. Its totient is φ = 2715801600.

The previous prime is 10821077989. The next prime is 10821078007. The reversal of 10821078000 is 87012801.

10821078000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10821078007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 288319 + ... + 323681.

Almost surely, 2^10821078000 is an apocalyptic number.

10821078000 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 10821078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20009375568).

10821078000 is an abundant number, since it is smaller than the sum of its proper divisors (29197673136).

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

10821078000 is a wasteful number, since it uses less digits than its factorization.

10821078000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35409 (or 35390 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10821078000 in words is "ten billion, eight hundred twenty-one million, seventy-eight thousand".