10873835280 has 1600 divisors, whose sum is σ = 52545208320. Its totient is φ = 2015539200.

The previous prime is 10873835267. The next prime is 10873835333. The reversal of 10873835280 is 8253837801.

10873835280 is a `hidden beast` number, since 10 + 87 + 38 + 3 + 528 + 0 = 666.

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

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 319 ways as a sum of consecutive naturals, for example, 293887422 + ... + 293887458.

Almost surely, 2^10873835280 is an apocalyptic number.

10873835280 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 10873835280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26272604160).

10873835280 is an abundant number, since it is smaller than the sum of its proper divisors (41671373040).

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

10873835280 is a wasteful number, since it uses less digits than its factorization.

10873835280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10873835280 in words is "ten billion, eight hundred seventy-three million, eight hundred thirty-five thousand, two hundred eighty".