11677307300 has 72 divisors (see below), whose sum is σ = 26317768680. Its totient is φ = 4493491200.

The previous prime is 11677307297. The next prime is 11677307353. The reversal of 11677307300 is 370377611.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2932439104 + 8744868196 = 54152^2 + 93514^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311570 + ... + 347030.

It is an arithmetic number, because the mean of its divisors is an integer number (365524565).

Almost surely, 2^11677307300 is an apocalyptic number.

11677307300 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 11677307300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158884340).

11677307300 is an abundant number, since it is smaller than the sum of its proper divisors (14640461380).

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

11677307300 is a wasteful number, since it uses less digits than its factorization.

11677307300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35601 (or 35594 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 35.

The spelling of 11677307300 in words is "eleven billion, six hundred seventy-seven million, three hundred seven thousand, three hundred".