427680386253 has 48 divisors (see below), whose sum is σ = 646925937840. Its totient is φ = 272021990400.

The previous prime is 427680386219. The next prime is 427680386261. The reversal of 427680386253 is 352683086724.

427680386253 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 8 + 0 + 3 + 8 + 625 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66145152969 + 361535233284 = 257187^2 + 601278^2 .

It is not a de Polignac number, because 427680386253 - 2³⁸ = 152802479309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 427680386253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427680386213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3839143 + ... + 3948971.

It is an arithmetic number, because the mean of its divisors is an integer number (13477623705).

Almost surely, 2^427680386253 is an apocalyptic number.

It is an amenable number.

427680386253 is a deficient number, since it is larger than the sum of its proper divisors (219245551587).

427680386253 is a wasteful number, since it uses less digits than its factorization.

427680386253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110110 (or 110107 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 427680386253 in words is "four hundred twenty-seven billion, six hundred eighty million, three hundred eighty-six thousand, two hundred fifty-three".