27755135100 has 432 divisors, whose sum is σ = 109197344256. Its totient is φ = 5728320000.

The previous prime is 27755135087. The next prime is 27755135101. The reversal of 27755135100 is 153155772.

It is a happy number.

27755135100 is a `hidden beast` number, since 2 + 77 + 551 + 35 + 1 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27755135101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10878825 + ... + 10881375.

Almost surely, 2^27755135100 is an apocalyptic number.

27755135100 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 27755135100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54598672128).

27755135100 is an abundant number, since it is smaller than the sum of its proper divisors (81442209156).

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

27755135100 is a wasteful number, since it uses less digits than its factorization.

27755135100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 27755135100 in words is "twenty-seven billion, seven hundred fifty-five million, one hundred thirty-five thousand, one hundred".