21380777680 has 20 divisors (see below), whose sum is σ = 49710308292. Its totient is φ = 8552311040.

The previous prime is 21380777659. The next prime is 21380777687. The reversal of 21380777680 is 8677708312.

It can be written as a sum of positive squares in 2 ways, for example, as 5546078784 + 15834698896 = 74472^2 + 125836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21380777687) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 133629781 + ... + 133629940.

Almost surely, 2^21380777680 is an apocalyptic number.

21380777680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21380777680 is an abundant number, since it is smaller than the sum of its proper divisors (28329530612).

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

21380777680 is a wasteful number, since it uses less digits than its factorization.

21380777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267259734 (or 267259728 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 21380777680 in words is "twenty-one billion, three hundred eighty million, seven hundred seventy-seven thousand, six hundred eighty".