257193244000 has 288 divisors, whose sum is σ = 793832090688. Its totient is φ = 80163072000.

The previous prime is 257193243977. The next prime is 257193244039. The reversal of 257193244000 is 442391752.

It is a super-2 number, since 2×257193244000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3350044 + ... + 3425956.

It is an arithmetic number, because the mean of its divisors is an integer number (2756361426).

Almost surely, 2^257193244000 is an apocalyptic number.

257193244000 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 257193244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396916045344).

257193244000 is an abundant number, since it is smaller than the sum of its proper divisors (536638846688).

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

257193244000 is a wasteful number, since it uses less digits than its factorization.

257193244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75967 (or 75938 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 257193244000 in words is "two hundred fifty-seven billion, one hundred ninety-three million, two hundred forty-four thousand".