21677872377667 has 8 divisors (see below), whose sum is σ = 23649146214912. Its totient is φ = 19706691568200.

The previous prime is 21677872377641. The next prime is 21677872377677. The reversal of 21677872377667 is 76677327877612.

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 21677872377667 - 2³⁵ = 21643512639299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21677872377593 and 21677872377602.

It is not an unprimeable number, because it can be changed into a prime (21677872377677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22769259 + ... + 23702212.

It is an arithmetic number, because the mean of its divisors is an integer number (2956143276864).

Almost surely, 2^{21677872377667} is an apocalyptic number.

21677872377667 is a deficient number, since it is larger than the sum of its proper divisors (1971273837245).

21677872377667 is a wasteful number, since it uses less digits than its factorization.

21677872377667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46513889.

The product of its digits is 2439569664, while the sum is 76.

Subtracting 21677872377667 from its reverse (76677327877612), we obtain a palindrome (54999455499945).

It can be divided in two parts, 2167787 and 2377667, that added together give a palindrome (4545454).

The spelling of 21677872377667 in words is "twenty-one trillion, six hundred seventy-seven billion, eight hundred seventy-two million, three hundred seventy-seven thousand, six hundred sixty-seven".