11360434680 has 192 divisors, whose sum is σ = 43758973440. Its totient is φ = 2596655232.

The previous prime is 11360434621. The next prime is 11360434711. The reversal of 11360434680 is 8643406311.

It is a happy number.

11360434680 is a `hidden beast` number, since 1 + 1 + 3 + 604 + 3 + 46 + 8 + 0 = 666.

11360434680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11360434680² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15444 + ... + 151523.

It is an arithmetic number, because the mean of its divisors is an integer number (227911320).

Almost surely, 2^11360434680 is an apocalyptic number.

11360434680 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 11360434680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21879486720).

11360434680 is an abundant number, since it is smaller than the sum of its proper divisors (32398538760).

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

11360434680 is a wasteful number, since it uses less digits than its factorization.

11360434680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167000 (or 166984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 11360 and 434680, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 11360434680 in words is "eleven billion, three hundred sixty million, four hundred thirty-four thousand, six hundred eighty".