10873428480 has 720 divisors, whose sum is σ = 42330397824. Its totient is φ = 2573598720.

The previous prime is 10873428479. The next prime is 10873428499. The reversal of 10873428480 is 8482437801.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10873428480² (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 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 71 ways as a sum of consecutive naturals, for example, 153146845 + ... + 153146915.

Almost surely, 2^10873428480 is an apocalyptic number.

10873428480 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 10873428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165198912).

10873428480 is an abundant number, since it is smaller than the sum of its proper divisors (31456969344).

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

10873428480 is a wasteful number, since it uses less digits than its factorization.

10873428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10873428480 in words is "ten billion, eight hundred seventy-three million, four hundred twenty-eight thousand, four hundred eighty".