257080376448 has 384 divisors, whose sum is σ = 889907665920. Its totient is φ = 72351138816.

The previous prime is 257080376437. The next prime is 257080376467. The reversal of 257080376448 is 844673080752.

257080376448 is a `hidden beast` number, since 2 + 57 + 0 + 80 + 3 + 76 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 257080376394 and 257080376403.

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, 14578965 + ... + 14596587.

It is an arithmetic number, because the mean of its divisors is an integer number (2317467880).

Almost surely, 2^257080376448 is an apocalyptic number.

257080376448 is a gapful number since it is divisible by the number (28) 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 257080376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444953832960).

257080376448 is an abundant number, since it is smaller than the sum of its proper divisors (632827289472).

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

257080376448 is an equidigital number, since it uses as much as digits as its factorization.

257080376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17726 (or 17702 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 257080376448 in words is "two hundred fifty-seven billion, eighty million, three hundred seventy-six thousand, four hundred forty-eight".