27842100030 has 160 divisors (see below), whose sum is σ = 81411967296. Its totient is φ = 6798836736.

The previous prime is 27842100019. The next prime is 27842100037. The reversal of 27842100030 is 3000124872.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27842099967 and 27842100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27842100037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 482167 + ... + 536813.

Almost surely, 2^27842100030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27842100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40705983648).

27842100030 is an abundant number, since it is smaller than the sum of its proper divisors (53569867266).

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

27842100030 is a wasteful number, since it uses less digits than its factorization.

27842100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54720 (or 54711 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 27842100030 in words is "twenty-seven billion, eight hundred forty-two million, one hundred thousand, thirty".