27778777787772 has 108 divisors (see below), whose sum is σ = 77397400145520. Its totient is φ = 8394363035520.

The previous prime is 27778777787687. The next prime is 27778777787779.

27778777787772 is a `hidden beast` number, since 277 + 78 + 7 + 77 + 78 + 77 + 72 = 666.

27778777787772 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27778777787779) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7317993 + ... + 10445600.

It is an arithmetic number, because the mean of its divisors is an integer number (716642593940).

Almost surely, 2^{27778777787772} is an apocalyptic number.

27778777787772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27778777787772 is an abundant number, since it is smaller than the sum of its proper divisors (49618622357748).

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

27778777787772 is a wasteful number, since it uses less digits than its factorization.

27778777787772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17763984 (or 17763968 counting only the distinct ones).

The product of its digits is 72313663744, while the sum is 90.

The spelling of 27778777787772 in words is "twenty-seven trillion, seven hundred seventy-eight billion, seven hundred seventy-seven million, seven hundred eighty-seven thousand, seven hundred seventy-two".