11078512704 has 504 divisors, whose sum is σ = 39555054240. Its totient is φ = 2947166208.

The previous prime is 11078512703. The next prime is 11078512721. The reversal of 11078512704 is 40721587011.

11078512704 is a `hidden beast` number, since 1 + 1 + 0 + 78 + 512 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11078512703) by changing a digit.

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, 39146547 + ... + 39146829.

Almost surely, 2^11078512704 is an apocalyptic number.

11078512704 is a gapful number since it is divisible by the number (14) 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 11078512704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19777527120).

11078512704 is an abundant number, since it is smaller than the sum of its proper divisors (28476541536).

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

11078512704 is a wasteful number, since it uses less digits than its factorization.

11078512704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 11078512704 in words is "eleven billion, seventy-eight million, five hundred twelve thousand, seven hundred four".