21761285883201 has 24 divisors (see below), whose sum is σ = 32829683455296. Its totient is φ = 13864042563360.

The previous prime is 21761285883157. The next prime is 21761285883289. The reversal of 21761285883201 is 10238858216712.

It is a happy number.

21761285883201 is a `hidden beast` number, since 2 + 1 + 7 + 6 + 1 + 28 + 588 + 32 + 0 + 1 = 666.

It is not a de Polignac number, because 21761285883201 - 2⁶ = 21761285883137 is a prime.

It is a super-2 number, since 2×21761285883201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21761285883301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47953350 + ... + 48405023.

It is an arithmetic number, because the mean of its divisors is an integer number (1367903477304).

Almost surely, 2^{21761285883201} is an apocalyptic number.

It is an amenable number.

21761285883201 is a deficient number, since it is larger than the sum of its proper divisors (11068397572095).

21761285883201 is a wasteful number, since it uses less digits than its factorization.

21761285883201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96359493 (or 96359490 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 21761285883201 in words is "twenty-one trillion, seven hundred sixty-one billion, two hundred eighty-five million, eight hundred eighty-three thousand, two hundred one".