27752525000 has 96 divisors (see below), whose sum is σ = 65190280680. Its totient is φ = 11075520000.

The previous prime is 27752524949. The next prime is 27752525081. The reversal of 27752525000 is 52525772.

It can be written as a sum of positive squares in 12 ways, for example, as 16191544516 + 11560980484 = 127246^2 + 107522^2 .

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 23 ways as a sum of consecutive naturals, for example, 13924004 + ... + 13925996.

Almost surely, 2^27752525000 is an apocalyptic number.

27752525000 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 27752525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32595140340).

27752525000 is an abundant number, since it is smaller than the sum of its proper divisors (37437755680).

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

27752525000 is an equidigital number, since it uses as much as digits as its factorization.

27752525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 35.

The spelling of 27752525000 in words is "twenty-seven billion, seven hundred fifty-two million, five hundred twenty-five thousand".