257679425536 has 152 divisors (see below), whose sum is σ = 562304098944. Its totient is φ = 117367111680.

The previous prime is 257679425519. The next prime is 257679425567. The reversal of 257679425536 is 635524976752.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282852921 + ... + 282853831.

It is an arithmetic number, because the mean of its divisors is an integer number (3699369072).

Almost surely, 2^257679425536 is an apocalyptic number.

257679425536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257679425536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281152049472).

257679425536 is an abundant number, since it is smaller than the sum of its proper divisors (304624673408).

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

257679425536 is an frugal number, since it uses more digits than its factorization.

257679425536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1009 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 61.

The spelling of 257679425536 in words is "two hundred fifty-seven billion, six hundred seventy-nine million, four hundred twenty-five thousand, five hundred thirty-six".