257299732048 has 40 divisors (see below), whose sum is σ = 516295883520. Its totient is φ = 124139191680.

The previous prime is 257299732003. The next prime is 257299732091. The reversal of 257299732048 is 840237992752.

It is a happy number.

It is a super-2 number, since 2×257299732048² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 257299731983 and 257299732001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2356143 + ... + 2462926.

It is an arithmetic number, because the mean of its divisors is an integer number (12907397088).

Almost surely, 2^257299732048 is an apocalyptic number.

It is an amenable number.

257299732048 is an abundant number, since it is smaller than the sum of its proper divisors (258996151472).

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

257299732048 is a wasteful number, since it uses less digits than its factorization.

257299732048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819195 (or 4819189 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 257299732048 in words is "two hundred fifty-seven billion, two hundred ninety-nine million, seven hundred thirty-two thousand, forty-eight".