257406706552320 has 1920 divisors, whose sum is σ = 1012304566361088. Its totient is φ = 62304347750400.

The previous prime is 257406706552313. The next prime is 257406706552321. The reversal of 257406706552320 is 23255607604752.

257406706552320 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 0 + 67 + 0 + 6 + 552 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×257406706552320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257406706552321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 372513323175 + ... + 372513323865.

Almost surely, 2^{257406706552320} is an apocalyptic number.

257406706552320 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 257406706552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506152283180544).

257406706552320 is an abundant number, since it is smaller than the sum of its proper divisors (754897859808768).

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

257406706552320 is an equidigital number, since it uses as much as digits as its factorization.

257406706552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 257406706552320 in words is "two hundred fifty-seven trillion, four hundred six billion, seven hundred six million, five hundred fifty-two thousand, three hundred twenty".