10881289742399 has 16 divisors (see below), whose sum is σ = 11358444093696. Its totient is φ = 10412217446400.

The previous prime is 10881289742339. The next prime is 10881289742419. The reversal of 10881289742399 is 99324798218801.

It is a Cunningham number, because it is equal to 3298680²-1.

It is a cyclic number.

It is not a de Polignac number, because 10881289742399 - 2³² = 10876994775103 is a prime.

It is a super-5 number, since 5×10881289742399⁵ (a number of 66 digits) contains 55555 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10881289742339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1649339 + ... + 4948019.

It is an arithmetic number, because the mean of its divisors is an integer number (709902755856).

Almost surely, 2^{10881289742399} is an apocalyptic number.

10881289742399 is a deficient number, since it is larger than the sum of its proper divisors (477154351297).

10881289742399 is a wasteful number, since it uses less digits than its factorization.

10881289742399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299906.

The product of its (nonzero) digits is 125411328, while the sum is 71.

The spelling of 10881289742399 in words is "ten trillion, eight hundred eighty-one billion, two hundred eighty-nine million, seven hundred forty-two thousand, three hundred ninety-nine".