27726894000 has 640 divisors, whose sum is σ = 108153077760. Its totient is φ = 6749568000.

The previous prime is 27726893989. The next prime is 27726894001. The reversal of 27726894000 is 49862772.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (27726894001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89153845 + ... + 89154155.

It is an arithmetic number, because the mean of its divisors is an integer number (168989184).

Almost surely, 2^27726894000 is an apocalyptic number.

27726894000 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 27726894000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54076538880).

27726894000 is an abundant number, since it is smaller than the sum of its proper divisors (80426183760).

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

27726894000 is a wasteful number, since it uses less digits than its factorization.

27726894000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27726894000 in words is "twenty-seven billion, seven hundred twenty-six million, eight hundred ninety-four thousand".