11095678080 has 320 divisors, whose sum is σ = 39865894200. Its totient is φ = 2940862464.

The previous prime is 11095678037. The next prime is 11095678091. The reversal of 11095678080 is 8087659011.

11095678080 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 567 + 8 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3987164736 + 7108513344 = 63144^2 + 84312^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11095678080² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10004566 + ... + 10005674.

Almost surely, 2^11095678080 is an apocalyptic number.

11095678080 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 11095678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19932947100).

11095678080 is an abundant number, since it is smaller than the sum of its proper divisors (28770216120).

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

11095678080 is a wasteful number, since it uses less digits than its factorization.

11095678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 11095678080 in words is "eleven billion, ninety-five million, six hundred seventy-eight thousand, eighty".