27772138275840 has 2376 divisors, whose sum is σ = 119426172518016. Its totient is φ = 6170237337600.

The previous prime is 27772138275829. The next prime is 27772138275859. The reversal of 27772138275840 is 4857283127772.

27772138275840 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 21 + 3 + 8 + 27 + 584 + 0 = 666.

It is a super-3 number, since 3×27772138275840³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 102480214905 + ... + 102480215175.

Almost surely, 2^{27772138275840} is an apocalyptic number.

27772138275840 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 27772138275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59713086259008).

27772138275840 is an abundant number, since it is smaller than the sum of its proper divisors (91654034242176).

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

27772138275840 is an equidigital number, since it uses as much as digits as its factorization.

27772138275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 27772138275840 in words is "twenty-seven trillion, seven hundred seventy-two billion, one hundred thirty-eight million, two hundred seventy-five thousand, eight hundred forty".