27532901052 has 96 divisors (see below), whose sum is σ = 73453148160. Its totient is φ = 8913317760.

The previous prime is 27532901029. The next prime is 27532901063. The reversal of 27532901052 is 25010923572.

27532901052 is a `hidden beast` number, since 27 + 532 + 90 + 10 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27532900998 and 27532901016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 973503 + ... + 1001385.

It is an arithmetic number, because the mean of its divisors is an integer number (765136960).

Almost surely, 2^27532901052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27532901052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36726574080).

27532901052 is an abundant number, since it is smaller than the sum of its proper divisors (45920247108).

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

27532901052 is a wasteful number, since it uses less digits than its factorization.

27532901052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28160 (or 28152 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 27532901052 in words is "twenty-seven billion, five hundred thirty-two million, nine hundred one thousand, fifty-two".