11078865720 has 384 divisors, whose sum is σ = 41167526400. Its totient is φ = 2662377984.

The previous prime is 11078865713. The next prime is 11078865727. The reversal of 11078865720 is 2756887011.

It is a happy number.

11078865720 is a `hidden beast` number, since 1 + 1 + 0 + 78 + 8 + 6 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11078865713) and next prime (11078865727).

It is a super-2 number, since 2×11078865720² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11078865727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5432461 + ... + 5434499.

It is an arithmetic number, because the mean of its divisors is an integer number (107207100).

Almost surely, 2^11078865720 is an apocalyptic number.

11078865720 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 11078865720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20583763200).

11078865720 is an abundant number, since it is smaller than the sum of its proper divisors (30088660680).

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

11078865720 is a wasteful number, since it uses less digits than its factorization.

11078865720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 11078865720 in words is "eleven billion, seventy-eight million, eight hundred sixty-five thousand, seven hundred twenty".