27773977937772 has 192 divisors, whose sum is σ = 74519931322368. Its totient is φ = 7968760800000.

The previous prime is 27773977937729. The next prime is 27773977937831.

27773977937772 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1640800773 + ... + 1640817699.

It is an arithmetic number, because the mean of its divisors is an integer number (388124642304).

Almost surely, 2^{27773977937772} is an apocalyptic number.

27773977937772 is a gapful number since it is divisible by the number (22) 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 27773977937772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37259965661184).

27773977937772 is an abundant number, since it is smaller than the sum of its proper divisors (46745953384596).

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

27773977937772 is a wasteful number, since it uses less digits than its factorization.

27773977937772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22420 (or 22418 counting only the distinct ones).

The product of its digits is 16810159716, while the sum is 84.

The spelling of 27773977937772 in words is "twenty-seven trillion, seven hundred seventy-three billion, nine hundred seventy-seven million, nine hundred thirty-seven thousand, seven hundred seventy-two".