27780777456936 has 512 divisors, whose sum is σ = 87682762137600. Its totient is φ = 7151630745600.

The previous prime is 27780777456911. The next prime is 27780777456937. The reversal of 27780777456936 is 63965477708772.

It is a super-2 number, since 2×27780777456936² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27780777456937) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12222074296 + ... + 12222076568.

It is an arithmetic number, because the mean of its divisors is an integer number (171255394800).

Almost surely, 2^{27780777456936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27780777456936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43841381068800).

27780777456936 is an abundant number, since it is smaller than the sum of its proper divisors (59901984680664).

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

27780777456936 is a wasteful number, since it uses less digits than its factorization.

27780777456936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 5227649280, while the sum is 78.

The spelling of 27780777456936 in words is "twenty-seven trillion, seven hundred eighty billion, seven hundred seventy-seven million, four hundred fifty-six thousand, nine hundred thirty-six".