27626390000 has 100 divisors (see below), whose sum is σ = 72967111800. Its totient is φ = 10045920000.

The previous prime is 27626389969. The next prime is 27626390003. The reversal of 27626390000 is 9362672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27626390003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15575 + ... + 235574.

It is an arithmetic number, because the mean of its divisors is an integer number (729671118).

Almost surely, 2^27626390000 is an apocalyptic number.

27626390000 is a gapful number since it is divisible by the number (20) 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 27626390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36483555900).

27626390000 is an abundant number, since it is smaller than the sum of its proper divisors (45340721800).

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

27626390000 is a wasteful number, since it uses less digits than its factorization.

27626390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251188 (or 251167 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 27626390000 in words is "twenty-seven billion, six hundred twenty-six million, three hundred ninety thousand".