27720783552 has 896 divisors, whose sum is σ = 103232102400. Its totient is φ = 6347980800.

The previous prime is 27720783521. The next prime is 27720783569. The reversal of 27720783552 is 25538702772.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333985303 + ... + 333985385.

It is an arithmetic number, because the mean of its divisors is an integer number (115214400).

Almost surely, 2^27720783552 is an apocalyptic number.

27720783552 is a gapful number since it is divisible by the number (22) 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 27720783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51616051200).

27720783552 is an abundant number, since it is smaller than the sum of its proper divisors (75511318848).

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

27720783552 is a wasteful number, since it uses less digits than its factorization.

27720783552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 27720783552 in words is "twenty-seven billion, seven hundred twenty million, seven hundred eighty-three thousand, five hundred fifty-two".