257163575760 has 1440 divisors, whose sum is σ = 1182128088960. Its totient is φ = 51355938816.

The previous prime is 257163575749. The next prime is 257163575777. The reversal of 257163575760 is 67575361752.

257163575760 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 6 + 3 + 575 + 7 + 60 = 666.

It is a super-2 number, since 2×257163575760² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 257163575697 and 257163575706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235281774 + ... + 235282866.

It is an arithmetic number, because the mean of its divisors is an integer number (820922284).

Almost surely, 2^257163575760 is an apocalyptic number.

257163575760 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 257163575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591064044480).

257163575760 is an abundant number, since it is smaller than the sum of its proper divisors (924964513200).

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

257163575760 is a wasteful number, since it uses less digits than its factorization.

257163575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The spelling of 257163575760 in words is "two hundred fifty-seven billion, one hundred sixty-three million, five hundred seventy-five thousand, seven hundred sixty".