11807656704 has 432 divisors, whose sum is σ = 37881043200. Its totient is φ = 3522355200.

The previous prime is 11807656699. The next prime is 11807656727. The reversal of 11807656704 is 40765670811.

11807656704 is a `hidden beast` number, since 1 + 1 + 80 + 7 + 6 + 567 + 0 + 4 = 666.

It is a super-2 number, since 2×11807656704² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11807656704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90134719 + ... + 90134849.

It is an arithmetic number, because the mean of its divisors is an integer number (87687600).

Almost surely, 2^11807656704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11807656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940521600).

11807656704 is an abundant number, since it is smaller than the sum of its proper divisors (26073386496).

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

11807656704 is a wasteful number, since it uses less digits than its factorization.

11807656704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11807656704 in words is "eleven billion, eight hundred seven million, six hundred fifty-six thousand, seven hundred four".