10879165440 has 792 divisors, whose sum is σ = 44880196608. Its totient is φ = 2415329280.

The previous prime is 10879165433. The next prime is 10879165481. The reversal of 10879165440 is 4456197801.

10879165440 is a `hidden beast` number, since 10 + 8 + 7 + 91 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85662657 + ... + 85662783.

Almost surely, 2^10879165440 is an apocalyptic number.

10879165440 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 10879165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22440098304).

10879165440 is an abundant number, since it is smaller than the sum of its proper divisors (34001031168).

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

10879165440 is a wasteful number, since it uses less digits than its factorization.

10879165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10879165440 in words is "ten billion, eight hundred seventy-nine million, one hundred sixty-five thousand, four hundred forty".