27993810000 has 400 divisors, whose sum is σ = 98106845760. Its totient is φ = 6835200000.

The previous prime is 27993809993. The next prime is 27993810139. The reversal of 27993810000 is 1839972.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×27993810000³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69809800 + ... + 69810200.

Almost surely, 2^27993810000 is an apocalyptic number.

27993810000 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 27993810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49053422880).

27993810000 is an abundant number, since it is smaller than the sum of its proper divisors (70113035760).

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

27993810000 is a wasteful number, since it uses less digits than its factorization.

27993810000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 27993810000 in words is "twenty-seven billion, nine hundred ninety-three million, eight hundred ten thousand".