11706977610 has 192 divisors, whose sum is σ = 32121722880. Its totient is φ = 2955363840.

The previous prime is 11706977573. The next prime is 11706977677. The reversal of 11706977610 is 1677960711.

11706977610 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 2×11706977610² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 17710680 + ... + 17711340.

It is an arithmetic number, because the mean of its divisors is an integer number (167300640).

Almost surely, 2^11706977610 is an apocalyptic number.

11706977610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11706977610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16060861440).

11706977610 is an abundant number, since it is smaller than the sum of its proper divisors (20414745270).

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

11706977610 is a wasteful number, since it uses less digits than its factorization.

11706977610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 11706977610 in words is "eleven billion, seven hundred six million, nine hundred seventy-seven thousand, six hundred ten".