27759906770399 has 8 divisors (see below), whose sum is σ = 28903157631600. Its totient is φ = 26638854955200.

The previous prime is 27759906770363. The next prime is 27759906770419. The reversal of 27759906770399 is 99307760995772.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27759906770399 - 2³⁶ = 27691187293663 is a prime.

It is a super-2 number, since 2×27759906770399² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27759906772399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5549758949 + ... + 5549763950.

It is an arithmetic number, because the mean of its divisors is an integer number (3612894703950).

Almost surely, 2^{27759906770399} is an apocalyptic number.

27759906770399 is a deficient number, since it is larger than the sum of its proper divisors (1143250861201).

27759906770399 is a wasteful number, since it uses less digits than its factorization.

27759906770399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099523001.

The product of its (nonzero) digits is 2835532980, while the sum is 80.

The spelling of 27759906770399 in words is "twenty-seven trillion, seven hundred fifty-nine billion, nine hundred six million, seven hundred seventy thousand, three hundred ninety-nine".