257154560520 has 512 divisors, whose sum is σ = 926985669120. Its totient is φ = 56242667520.

The previous prime is 257154560489. The next prime is 257154560527. The reversal of 257154560520 is 25065451752.

It is a super-2 number, since 2×257154560520² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257154560527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 393804514 + ... + 393805166.

It is an arithmetic number, because the mean of its divisors is an integer number (1810518885).

Almost surely, 2^257154560520 is an apocalyptic number.

257154560520 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 257154560520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463492834560).

257154560520 is an abundant number, since it is smaller than the sum of its proper divisors (669831108600).

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

257154560520 is a wasteful number, since it uses less digits than its factorization.

257154560520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 257154560520 in words is "two hundred fifty-seven billion, one hundred fifty-four million, five hundred sixty thousand, five hundred twenty".