257928234750 has 384 divisors, whose sum is σ = 749062080000. Its totient is φ = 63852364800.

The previous prime is 257928234743. The next prime is 257928234803. The reversal of 257928234750 is 57432829752.

257928234750 is a `hidden beast` number, since 2 + 5 + 7 + 92 + 82 + 3 + 475 + 0 = 666.

It is a super-2 number, since 2×257928234750² (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 191 ways as a sum of consecutive naturals, for example, 516890001 + ... + 516890499.

It is an arithmetic number, because the mean of its divisors is an integer number (1950682500).

Almost surely, 2^257928234750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257928234750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374531040000).

257928234750 is an abundant number, since it is smaller than the sum of its proper divisors (491133845250).

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

257928234750 is a wasteful number, since it uses less digits than its factorization.

257928234750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 257928234750 in words is "two hundred fifty-seven billion, nine hundred twenty-eight million, two hundred thirty-four thousand, seven hundred fifty".