11726671400 has 96 divisors (see below), whose sum is σ = 28910348280. Its totient is φ = 4408320000.

The previous prime is 11726671393. The next prime is 11726671421. The reversal of 11726671400 is 417662711.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 813604 + 11725857796 = 902^2 + 108286^2 .

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 23 ways as a sum of consecutive naturals, for example, 2789300 + ... + 2793500.

Almost surely, 2^11726671400 is an apocalyptic number.

11726671400 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 11726671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14455174140).

11726671400 is an abundant number, since it is smaller than the sum of its proper divisors (17183676880).

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

11726671400 is a wasteful number, since it uses less digits than its factorization.

11726671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 11726671400 in words is "eleven billion, seven hundred twenty-six million, six hundred seventy-one thousand, four hundred".