21715627477257 has 48 divisors (see below), whose sum is σ = 36429240706560. Its totient is φ = 12209341326336.

The previous prime is 21715627477237. The next prime is 21715627477283. The reversal of 21715627477257 is 75277472651712.

21715627477257 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 562 + 7 + 47 + 7 + 25 + 7 = 666.

It is not a de Polignac number, because 21715627477257 - 2⁷ = 21715627477129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 21715627477194 and 21715627477203.

It is not an unprimeable number, because it can be changed into a prime (21715627477237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10157457 + ... + 12108062.

It is an arithmetic number, because the mean of its divisors is an integer number (758942514720).

Almost surely, 2^{21715627477257} is an apocalyptic number.

It is an amenable number.

21715627477257 is a deficient number, since it is larger than the sum of its proper divisors (14713613229303).

21715627477257 is a wasteful number, since it uses less digits than its factorization.

21715627477257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22265782 (or 22265779 counting only the distinct ones).

The product of its digits is 80673600, while the sum is 63.

The spelling of 21715627477257 in words is "twenty-one trillion, seven hundred fifteen billion, six hundred twenty-seven million, four hundred seventy-seven thousand, two hundred fifty-seven".