257224425120 has 768 divisors, whose sum is σ = 999959385600. Its totient is φ = 61360865280.

The previous prime is 257224425089. The next prime is 257224425151. The reversal of 257224425120 is 21524422752.

257224425120 is a `hidden beast` number, since 2 + 5 + 7 + 224 + 425 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (257224425089) and next prime (257224425151).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 264906235 + ... + 264907205.

It is an arithmetic number, because the mean of its divisors is an integer number (1302030450).

Almost surely, 2^257224425120 is an apocalyptic number.

257224425120 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 257224425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499979692800).

257224425120 is an abundant number, since it is smaller than the sum of its proper divisors (742734960480).

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

257224425120 is a wasteful number, since it uses less digits than its factorization.

257224425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 257224425120 its reverse (21524422752), we get a palindrome (278748847872).

The spelling of 257224425120 in words is "two hundred fifty-seven billion, two hundred twenty-four million, four hundred twenty-five thousand, one hundred twenty".