257452550332000 has 768 divisors, whose sum is σ = 706868757504000. Its totient is φ = 91781932032000.

The previous prime is 257452550331967. The next prime is 257452550332007. The reversal of 257452550332000 is 233055254752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257452550332007) 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, 10120375281 + ... + 10120400719.

It is an arithmetic number, because the mean of its divisors is an integer number (920402028000).

Almost surely, 2^{257452550332000} is an apocalyptic number.

257452550332000 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 257452550332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353434378752000).

257452550332000 is an abundant number, since it is smaller than the sum of its proper divisors (449416207172000).

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

257452550332000 is a wasteful number, since it uses less digits than its factorization.

257452550332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25640 (or 25622 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 43.

The spelling of 257452550332000 in words is "two hundred fifty-seven trillion, four hundred fifty-two billion, five hundred fifty million, three hundred thirty-two thousand".