257126730960 has 160 divisors (see below), whose sum is σ = 915322129920. Its totient is φ = 59053017600.

The previous prime is 257126730937. The next prime is 257126730967. The reversal of 257126730960 is 69037621752.

It is a super-2 number, since 2×257126730960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257126730967) 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, 2512906 + ... + 2613225.

It is an arithmetic number, because the mean of its divisors is an integer number (5720763312).

Almost surely, 2^257126730960 is an apocalyptic number.

257126730960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257126730960 is an abundant number, since it is smaller than the sum of its proper divisors (658195398960).

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

257126730960 is a wasteful number, since it uses less digits than its factorization.

257126730960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126177 (or 5126171 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 257126730960 in words is "two hundred fifty-seven billion, one hundred twenty-six million, seven hundred thirty thousand, nine hundred sixty".