21727513317375 has 96 divisors (see below), whose sum is σ = 39687398487360. Its totient is φ = 11435023564800.

The previous prime is 21727513317353. The next prime is 21727513317427. The reversal of 21727513317375 is 57371331572712.

21727513317375 is a `hidden beast` number, since 2 + 1 + 7 + 27 + 513 + 31 + 7 + 3 + 75 = 666.

It is not a de Polignac number, because 21727513317375 - 2⁸ = 21727513317119 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30585211 + ... + 31287539.

It is an arithmetic number, because the mean of its divisors is an integer number (413410400910).

Almost surely, 2^{21727513317375} is an apocalyptic number.

21727513317375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21727513317375 is a deficient number, since it is larger than the sum of its proper divisors (17959885169985).

21727513317375 is a wasteful number, since it uses less digits than its factorization.

21727513317375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702714 (or 702701 counting only the distinct ones).

The product of its digits is 6482700, while the sum is 54.

The spelling of 21727513317375 in words is "twenty-one trillion, seven hundred twenty-seven billion, five hundred thirteen million, three hundred seventeen thousand, three hundred seventy-five".