10879263344040 has 1024 divisors, whose sum is σ = 43466946969600. Its totient is φ = 2116664524800.

The previous prime is 10879263344029. The next prime is 10879263344099. The reversal of 10879263344040 is 4044336297801.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 596801646 + ... + 596819874.

It is an arithmetic number, because the mean of its divisors is an integer number (42448190400).

Almost surely, 2^{10879263344040} is an apocalyptic number.

10879263344040 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 10879263344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733473484800).

10879263344040 is an abundant number, since it is smaller than the sum of its proper divisors (32587683625560).

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

10879263344040 is a wasteful number, since it uses less digits than its factorization.

10879263344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18378 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 10879263344040 in words is "ten trillion, eight hundred seventy-nine billion, two hundred sixty-three million, three hundred forty-four thousand, forty".