10826089920 has 168 divisors, whose sum is σ = 37381440096. Its totient is φ = 2875779072.

The previous prime is 10826089823. The next prime is 10826089961. The reversal of 10826089920 is 2998062801.

10826089920 is a `hidden beast` number, since 10 + 8 + 2 + 608 + 9 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750294 + ... + 764586.

It is an arithmetic number, because the mean of its divisors is an integer number (222508572).

Almost surely, 2^10826089920 is an apocalyptic number.

10826089920 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 10826089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690720048).

10826089920 is an abundant number, since it is smaller than the sum of its proper divisors (26555350176).

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

10826089920 is a wasteful number, since it uses less digits than its factorization.

10826089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14579 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10826089920 in words is "ten billion, eight hundred twenty-six million, eighty-nine thousand, nine hundred twenty".