27052457895100 has 144 divisors (see below), whose sum is σ = 66724195378176. Its totient is φ = 9430953984000.

The previous prime is 27052457895079. The next prime is 27052457895109. The reversal of 27052457895100 is 159875425072.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27052457895109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58437 + ... + 7355836.

It is an arithmetic number, because the mean of its divisors is an integer number (463362467904).

Almost surely, 2^{27052457895100} is an apocalyptic number.

27052457895100 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 27052457895100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33362097689088).

27052457895100 is an abundant number, since it is smaller than the sum of its proper divisors (39671737483076).

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

27052457895100 is a wasteful number, since it uses less digits than its factorization.

27052457895100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414436 (or 7414429 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 27052457895100 in words is "twenty-seven trillion, fifty-two billion, four hundred fifty-seven million, eight hundred ninety-five thousand, one hundred".