257540854000 has 160 divisors (see below), whose sum is σ = 660038326272. Its totient is φ = 96857600000.

The previous prime is 257540853979. The next prime is 257540854001. The reversal of 257540854000 is 458045752.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257540854001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39130710 + ... + 39137290.

Almost surely, 2^257540854000 is an apocalyptic number.

257540854000 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 257540854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330019163136).

257540854000 is an abundant number, since it is smaller than the sum of its proper divisors (402497472272).

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

257540854000 is a wasteful number, since it uses less digits than its factorization.

257540854000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

Adding to 257540854000 its reverse (458045752), we get a palindrome (257998899752).

The spelling of 257540854000 in words is "two hundred fifty-seven billion, five hundred forty million, eight hundred fifty-four thousand".