10819128516480 has 384 divisors, whose sum is σ = 38658913675200. Its totient is φ = 2784833372160.

The previous prime is 10819128516479. The next prime is 10819128516481. The reversal of 10819128516480 is 8461582191801.

10819128516480 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 91 + 28 + 51 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (10819128516479) and next prime (10819128516481).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10819128516480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10819128516481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 813645192 + ... + 813658488.

Almost surely, 2^{10819128516480} is an apocalyptic number.

10819128516480 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 10819128516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329456837600).

10819128516480 is an abundant number, since it is smaller than the sum of its proper divisors (27839785158720).

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

10819128516480 is a wasteful number, since it uses less digits than its factorization.

10819128516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18222 (or 18207 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 10819128516480 in words is "ten trillion, eight hundred nineteen billion, one hundred twenty-eight million, five hundred sixteen thousand, four hundred eighty".