27764795520 has 1152 divisors, whose sum is σ = 126196358400. Its totient is φ = 5748019200.

The previous prime is 27764795501. The next prime is 27764795533. The reversal of 27764795520 is 2559746772.

It is a happy number.

27764795520 is a `hidden beast` number, since 2 + 7 + 76 + 47 + 9 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102452985 + ... + 102453255.

It is an arithmetic number, because the mean of its divisors is an integer number (109545450).

Almost surely, 2^27764795520 is an apocalyptic number.

27764795520 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 27764795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63098179200).

27764795520 is an abundant number, since it is smaller than the sum of its proper divisors (98431562880).

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

27764795520 is a wasteful number, since it uses less digits than its factorization.

27764795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 27764795520 in words is "twenty-seven billion, seven hundred sixty-four million, seven hundred ninety-five thousand, five hundred twenty".