11956161700 has 108 divisors (see below), whose sum is σ = 30917403972. Its totient is φ = 3999206400.

The previous prime is 11956161697. The next prime is 11956161719. The reversal of 11956161700 is 716165911.

It can be written as a sum of positive squares in 6 ways, for example, as 6316752484 + 5639409216 = 79478^2 + 75096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11956161700.

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 35 ways as a sum of consecutive naturals, for example, 171144 + ... + 230656.

It is an arithmetic number, because the mean of its divisors is an integer number (286272259).

Almost surely, 2^11956161700 is an apocalyptic number.

11956161700 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 11956161700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458701986).

11956161700 is an abundant number, since it is smaller than the sum of its proper divisors (18961242272).

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

11956161700 is a wasteful number, since it uses less digits than its factorization.

11956161700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59582 (or 59568 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 11956161700 in words is "eleven billion, nine hundred fifty-six million, one hundred sixty-one thousand, seven hundred".