11626440000 has 280 divisors, whose sum is σ = 43934286528. Its totient is φ = 2657280000.

The previous prime is 11626439999. The next prime is 11626440011. The reversal of 11626440000 is 4462611.

11626440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 833080 + ... + 846920.

Almost surely, 2^11626440000 is an apocalyptic number.

11626440000 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 11626440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21967143264).

11626440000 is an abundant number, since it is smaller than the sum of its proper divisors (32307846528).

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

11626440000 is an equidigital number, since it uses as much as digits as its factorization.

11626440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13883 (or 13858 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 11626440000 in words is "eleven billion, six hundred twenty-six million, four hundred forty thousand".