27866219020640 has 2304 divisors, whose sum is σ = 96429553920000. Its totient is φ = 7467826544640.

The previous prime is 27866219020603. The next prime is 27866219020649. The reversal of 27866219020640 is 4602091266872.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27866219020649) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 140031251261 + ... + 140031251459.

It is an arithmetic number, because the mean of its divisors is an integer number (41853105000).

Almost surely, 2^{27866219020640} is an apocalyptic number.

27866219020640 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 27866219020640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48214776960000).

27866219020640 is an abundant number, since it is smaller than the sum of its proper divisors (68563334899360).

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

27866219020640 is a wasteful number, since it uses less digits than its factorization.

27866219020640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 27866219020640 in words is "twenty-seven trillion, eight hundred sixty-six billion, two hundred nineteen million, twenty thousand, six hundred forty".