257102727072 has 48 divisors (see below), whose sum is σ = 679035157920. Its totient is φ = 85175131392.

The previous prime is 257102727071. The next prime is 257102727121. The reversal of 257102727072 is 270727201752.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×257102727072² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257102727071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8199547 + ... + 8230842.

It is an arithmetic number, because the mean of its divisors is an integer number (14146565790).

Almost surely, 2^257102727072 is an apocalyptic number.

It is an amenable number.

257102727072 is an abundant number, since it is smaller than the sum of its proper divisors (421932430848).

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

257102727072 is a wasteful number, since it uses less digits than its factorization.

257102727072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16430565 (or 16430557 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 42.

The spelling of 257102727072 in words is "two hundred fifty-seven billion, one hundred two million, seven hundred twenty-seven thousand, seventy-two".