257753476128 has 192 divisors, whose sum is σ = 727426852992. Its totient is φ = 79623290880.

The previous prime is 257753476103. The next prime is 257753476139. The reversal of 257753476128 is 821674357752.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90661075 + ... + 90663917.

It is an arithmetic number, because the mean of its divisors is an integer number (3788681526).

Almost surely, 2^257753476128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257753476128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363713426496).

257753476128 is an abundant number, since it is smaller than the sum of its proper divisors (469673376864).

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

257753476128 is a wasteful number, since it uses less digits than its factorization.

257753476128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3699 counting only the distinct ones).

The product of its digits is 19756800, while the sum is 57.

The spelling of 257753476128 in words is "two hundred fifty-seven billion, seven hundred fifty-three million, four hundred seventy-six thousand, one hundred twenty-eight".