257135682672 has 240 divisors, whose sum is σ = 792206438400. Its totient is φ = 77211763200.

The previous prime is 257135682667. The next prime is 257135682707. The reversal of 257135682672 is 276286531752.

257135682672 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 3 + 568 + 2 + 6 + 72 = 666.

It is a super-2 number, since 2×257135682672² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107183329 + ... + 107185727.

It is an arithmetic number, because the mean of its divisors is an integer number (3300860160).

Almost surely, 2^257135682672 is an apocalyptic number.

257135682672 is a gapful number since it is divisible by the number (22) 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 257135682672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396103219200).

257135682672 is an abundant number, since it is smaller than the sum of its proper divisors (535070755728).

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

257135682672 is a wasteful number, since it uses less digits than its factorization.

257135682672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3003 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 257135682672 in words is "two hundred fifty-seven billion, one hundred thirty-five million, six hundred eighty-two thousand, six hundred seventy-two".