11507806680 has 192 divisors, whose sum is σ = 36140925600. Its totient is φ = 2930995200.

The previous prime is 11507806679. The next prime is 11507806771. The reversal of 11507806680 is 8660870511.

It is a super-2 number, since 2×11507806680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10192356 + ... + 10193484.

Almost surely, 2^11507806680 is an apocalyptic number.

11507806680 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 11507806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18070462800).

11507806680 is an abundant number, since it is smaller than the sum of its proper divisors (24633118920).

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

11507806680 is a wasteful number, since it uses less digits than its factorization.

11507806680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 11507806680 in words is "eleven billion, five hundred seven million, eight hundred six thousand, six hundred eighty".