10882515409920 has 2112 divisors, whose sum is σ = 48514756792320. Its totient is φ = 2189898547200.

The previous prime is 10882515409889. The next prime is 10882515409939. The reversal of 10882515409920 is 2990451528801.

10882515409920 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 2 + 5 + 1 + 540 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34768419684 + ... + 34768419996.

Almost surely, 2^{10882515409920} is an apocalyptic number.

10882515409920 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 10882515409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24257378396160).

10882515409920 is an abundant number, since it is smaller than the sum of its proper divisors (37632241382400).

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

10882515409920 is a wasteful number, since it uses less digits than its factorization.

10882515409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 10882515409920 in words is "ten trillion, eight hundred eighty-two billion, five hundred fifteen million, four hundred nine thousand, nine hundred twenty".