10828721552880 has 2560 divisors, whose sum is σ = 46550986260480. Its totient is φ = 2016368640000.

The previous prime is 10828721552879. The next prime is 10828721552939. The reversal of 10828721552880 is 8825512782801.

It is a super-2 number, since 2×10828721552880² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10828721552880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 105133218909 + ... + 105133219011.

It is an arithmetic number, because the mean of its divisors is an integer number (18183979008).

Almost surely, 2^{10828721552880} is an apocalyptic number.

10828721552880 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 10828721552880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275493130240).

10828721552880 is an abundant number, since it is smaller than the sum of its proper divisors (35722264707600).

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

10828721552880 is a wasteful number, since it uses less digits than its factorization.

10828721552880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 57.

The spelling of 10828721552880 in words is "ten trillion, eight hundred twenty-eight billion, seven hundred twenty-one million, five hundred fifty-two thousand, eight hundred eighty".