10833770880 has 768 divisors, whose sum is σ = 42343741440. Its totient is φ = 2539192320.

The previous prime is 10833770839. The next prime is 10833770881. The reversal of 10833770880 is 8807733801.

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 (10833770881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130527319 + ... + 130527401.

It is an arithmetic number, because the mean of its divisors is an integer number (55135080).

Almost surely, 2^10833770880 is an apocalyptic number.

10833770880 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 10833770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21171870720).

10833770880 is an abundant number, since it is smaller than the sum of its proper divisors (31509970560).

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

10833770880 is a wasteful number, since it uses less digits than its factorization.

10833770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10833770880 in words is "ten billion, eight hundred thirty-three million, seven hundred seventy thousand, eight hundred eighty".