27676725120 has 384 divisors, whose sum is σ = 104851169280. Its totient is φ = 6671462400.

The previous prime is 27676725119. The next prime is 27676725137. The reversal of 27676725120 is 2152767672.

27676725120 is a `hidden beast` number, since 2 + 7 + 67 + 6 + 72 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×27676725120² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 12100617 + ... + 12102903.

It is an arithmetic number, because the mean of its divisors is an integer number (273049920).

Almost surely, 2^27676725120 is an apocalyptic number.

27676725120 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 27676725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52425584640).

27676725120 is an abundant number, since it is smaller than the sum of its proper divisors (77174444160).

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

27676725120 is a wasteful number, since it uses less digits than its factorization.

27676725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 27676725120 in words is "twenty-seven billion, six hundred seventy-six million, seven hundred twenty-five thousand, one hundred twenty".