27993600000 has 624 divisors, whose sum is σ = 104940470880. Its totient is φ = 7464960000.

The previous prime is 27993599981. The next prime is 27993600013. The reversal of 27993600000 is 639972.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5598719998 + ... + 5598720002.

Almost surely, 2^27993600000 is an apocalyptic number.

27993600000 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 27993600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52470235440).

27993600000 is an abundant number, since it is smaller than the sum of its proper divisors (76946870880).

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

27993600000 is an frugal number, since it uses more digits than its factorization.

27993600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

27993600000 divided by its sum of digits (36) gives a 5-th power (777600000 = 60⁵).

The spelling of 27993600000 in words is "twenty-seven billion, nine hundred ninety-three million, six hundred thousand".