27985720100 has 144 divisors (see below), whose sum is σ = 67110829632. Its totient is φ = 10064355840.

The previous prime is 27985720067. The next prime is 27985720109. The reversal of 27985720100 is 102758972.

It is not an unprimeable number, because it can be changed into a prime (27985720109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38179334 + ... + 38180066.

It is an arithmetic number, because the mean of its divisors is an integer number (466047428).

Almost surely, 2^27985720100 is an apocalyptic number.

27985720100 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 27985720100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33555414816).

27985720100 is an abundant number, since it is smaller than the sum of its proper divisors (39125109532).

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

27985720100 is a wasteful number, since it uses less digits than its factorization.

27985720100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 27985720100 in words is "twenty-seven billion, nine hundred eighty-five million, seven hundred twenty thousand, one hundred".