27641987100 has 360 divisors, whose sum is σ = 110285281568. Its totient is φ = 5832000000.

The previous prime is 27641987099. The next prime is 27641987117. The reversal of 27641987100 is 178914672.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 718350 + ... + 755850.

Almost surely, 2^27641987100 is an apocalyptic number.

27641987100 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 27641987100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55142640784).

27641987100 is an abundant number, since it is smaller than the sum of its proper divisors (82643294468).

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

27641987100 is a wasteful number, since it uses less digits than its factorization.

27641987100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37547 (or 37531 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 27641987100 in words is "twenty-seven billion, six hundred forty-one million, nine hundred eighty-seven thousand, one hundred".