27751052340 has 216 divisors, whose sum is σ = 92701234080. Its totient is φ = 6714829440.

The previous prime is 27751052327. The next prime is 27751052359. The reversal of 27751052340 is 4325015772.

27751052340 is a `hidden beast` number, since 27 + 75 + 1 + 0 + 523 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27751052295 and 27751052304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17140051 + ... + 17141669.

It is an arithmetic number, because the mean of its divisors is an integer number (429172380).

Almost surely, 2^27751052340 is an apocalyptic number.

27751052340 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 27751052340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46350617040).

27751052340 is an abundant number, since it is smaller than the sum of its proper divisors (64950181740).

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

27751052340 is a wasteful number, since it uses less digits than its factorization.

27751052340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 27751052340 in words is "twenty-seven billion, seven hundred fifty-one million, fifty-two thousand, three hundred forty".