27780805525 has 48 divisors (see below), whose sum is σ = 37858916160. Its totient is φ = 20054822400.

The previous prime is 27780805523. The next prime is 27780805531. The reversal of 27780805525 is 52550808772.

It is not a de Polignac number, because 27780805525 - 2¹ = 27780805523 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27780805523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33510811 + ... + 33511639.

It is an arithmetic number, because the mean of its divisors is an integer number (788727420).

Almost surely, 2^27780805525 is an apocalyptic number.

27780805525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27780805525 is a deficient number, since it is larger than the sum of its proper divisors (10078110635).

27780805525 is a wasteful number, since it uses less digits than its factorization.

27780805525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 49.

The spelling of 27780805525 in words is "twenty-seven billion, seven hundred eighty million, eight hundred five thousand, five hundred twenty-five".