257623511040 has 1664 divisors, whose sum is σ = 1147421491200. Its totient is φ = 53508833280.

The previous prime is 257623511027. The next prime is 257623511087. The reversal of 257623511040 is 40115326752.

257623511040 is a `hidden beast` number, since 2 + 576 + 2 + 35 + 1 + 10 + 40 = 666.

257623511040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257623510986 and 257623511004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2279854024 + ... + 2279854136.

Almost surely, 2^257623511040 is an apocalyptic number.

257623511040 is a gapful number since it is divisible by the number (20) 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 257623511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573710745600).

257623511040 is an abundant number, since it is smaller than the sum of its proper divisors (889797980160).

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

257623511040 is a wasteful number, since it uses less digits than its factorization.

257623511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 257623511040 its reverse (40115326752), we get a palindrome (297738837792).

The spelling of 257623511040 in words is "two hundred fifty-seven billion, six hundred twenty-three million, five hundred eleven thousand, forty".