11078000640 has 784 divisors, whose sum is σ = 46413956448. Its totient is φ = 2484338688.

The previous prime is 11078000639. The next prime is 11078000653. The reversal of 11078000640 is 4600087011.

It is a happy number.

11078000640 is a `hidden beast` number, since 1 + 10 + 7 + 8 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 209018854 + ... + 209018906.

Almost surely, 2^11078000640 is an apocalyptic number.

11078000640 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 11078000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206978224).

11078000640 is an abundant number, since it is smaller than the sum of its proper divisors (35335955808).

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

11078000640 is an frugal number, since it uses more digits than its factorization.

11078000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11078000640 its reverse (4600087011), we get a palindrome (15678087651).

The spelling of 11078000640 in words is "eleven billion, seventy-eight million, six hundred forty", and thus it is an aban number.