27758880000 has 540 divisors, whose sum is σ = 102912797988. Its totient is φ = 7188480000.

The previous prime is 27758879999. The next prime is 27758880059. The reversal of 27758880000 is 8885772.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 18413404416 + 9345475584 = 135696^2 + 96672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53279740 + ... + 53280260.

Almost surely, 2^27758880000 is an apocalyptic number.

27758880000 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 27758880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51456398994).

27758880000 is an abundant number, since it is smaller than the sum of its proper divisors (75153917988).

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

27758880000 is an equidigital number, since it uses as much as digits as its factorization.

27758880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 27758880000 in words is "twenty-seven billion, seven hundred fifty-eight million, eight hundred eighty thousand".