27787049300340 has 216 divisors, whose sum is σ = 92669072148744. Its totient is φ = 6734610432000.

The previous prime is 27787049300323. The next prime is 27787049300341. The reversal of 27787049300340 is 4300394078772.

27787049300340 is a `hidden beast` number, since 2 + 77 + 87 + 0 + 493 + 0 + 0 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1950932910564 + 25836116389776 = 1396758^2 + 5082924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27787049300341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90298740 + ... + 90605940.

Almost surely, 2^{27787049300340} is an apocalyptic number.

27787049300340 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 27787049300340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46334536074372).

27787049300340 is an abundant number, since it is smaller than the sum of its proper divisors (64882022848404).

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

27787049300340 is a wasteful number, since it uses less digits than its factorization.

27787049300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311391 (or 311375 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 27787049300340 in words is "twenty-seven trillion, seven hundred eighty-seven billion, forty-nine million, three hundred thousand, three hundred forty".