10945876896 has 192 divisors, whose sum is σ = 33791385600. Its totient is φ = 3437510400.

The previous prime is 10945876867. The next prime is 10945876913. The reversal of 10945876896 is 69867854901.

10945876896 is a `hidden beast` number, since 109 + 458 + 76 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3133711 + ... + 3137201.

It is an arithmetic number, because the mean of its divisors is an integer number (175996800).

Almost surely, 2^10945876896 is an apocalyptic number.

10945876896 is a gapful number since it is divisible by the number (16) 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 10945876896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895692800).

10945876896 is an abundant number, since it is smaller than the sum of its proper divisors (22845508704).

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

10945876896 is a wasteful number, since it uses less digits than its factorization.

10945876896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 10945876896 in words is "ten billion, nine hundred forty-five million, eight hundred seventy-six thousand, eight hundred ninety-six".