10833080544 has 288 divisors, whose sum is σ = 38323774944. Its totient is φ = 2851799040.

The previous prime is 10833080473. The next prime is 10833080579. The reversal of 10833080544 is 44508033801.

10833080544 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 30 + 80 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 10833080499 and 10833080508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692392 + ... + 707864.

It is an arithmetic number, because the mean of its divisors is an integer number (133068663).

Almost surely, 2^10833080544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10833080544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19161887472).

10833080544 is an abundant number, since it is smaller than the sum of its proper divisors (27490694400).

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

10833080544 is a wasteful number, since it uses less digits than its factorization.

10833080544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15530 (or 15519 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10833080544 in words is "ten billion, eight hundred thirty-three million, eighty thousand, five hundred forty-four".