257132359680 has 416 divisors, whose sum is σ = 942835736064. Its totient is φ = 58611990528.

The previous prime is 257132359663. The next prime is 257132359681. The reversal of 257132359680 is 86953231752.

It is a super-2 number, since 2×257132359680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257132359681) 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, 235253214 + ... + 235254306.

Almost surely, 2^257132359680 is an apocalyptic number.

257132359680 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 257132359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471417868032).

257132359680 is an abundant number, since it is smaller than the sum of its proper divisors (685703376384).

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

257132359680 is a wasteful number, since it uses less digits than its factorization.

257132359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 257132359680 in words is "two hundred fifty-seven billion, one hundred thirty-two million, three hundred fifty-nine thousand, six hundred eighty".