21671381363760 has 120 divisors (see below), whose sum is σ = 72832733545104. Its totient is φ = 5774825710080.

The previous prime is 21671381363713. The next prime is 21671381363771. The reversal of 21671381363760 is 6736318317612.

21671381363760 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 138 + 136 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 21671381363697 and 21671381363706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9972526 + ... + 11949645.

Almost surely, 2^{21671381363760} is an apocalyptic number.

21671381363760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21671381363760 is an abundant number, since it is smaller than the sum of its proper divisors (51161352181344).

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

21671381363760 is a wasteful number, since it uses less digits than its factorization.

21671381363760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21923563 (or 21923554 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 21671381363760 in words is "twenty-one trillion, six hundred seventy-one billion, three hundred eighty-one million, three hundred sixty-three thousand, seven hundred sixty".