10549882080 has 72 divisors (see below), whose sum is σ = 36001477512. Its totient is φ = 2813301504.

The previous prime is 10549882067. The next prime is 10549882129. The reversal of 10549882080 is 8028894501.

It is a happy number.

10549882080 is a `hidden beast` number, since 1 + 0 + 5 + 498 + 82 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10549882080² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3661714 + ... + 3664593.

It is an arithmetic number, because the mean of its divisors is an integer number (500020521).

Almost surely, 2^10549882080 is an apocalyptic number.

10549882080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10549882080 is an abundant number, since it is smaller than the sum of its proper divisors (25451595432).

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

10549882080 is a wasteful number, since it uses less digits than its factorization.

10549882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7326328 (or 7326317 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

It can be divided in two parts, 105498 and 82080, that added together give a triangular number (187578 = T₆₁₂).

The spelling of 10549882080 in words is "ten billion, five hundred forty-nine million, eight hundred eighty-two thousand, eighty".