27726010000 has 200 divisors, whose sum is σ = 72650044544. Its totient is φ = 10186560000.

The previous prime is 27726009991. The next prime is 27726010043. The reversal of 27726010000 is 1062772.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35229607 + ... + 35230393.

Almost surely, 2^27726010000 is an apocalyptic number.

27726010000 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 27726010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36325022272).

27726010000 is an abundant number, since it is smaller than the sum of its proper divisors (44924034544).

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

27726010000 is a wasteful number, since it uses less digits than its factorization.

27726010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

Adding to 27726010000 its reverse (1062772), we get a palindrome (27727072772).

The spelling of 27726010000 in words is "twenty-seven billion, seven hundred twenty-six million, ten thousand".