257990868096 has 384 divisors, whose sum is σ = 757881411840. Its totient is φ = 77709864960.

The previous prime is 257990868067. The next prime is 257990868101. The reversal of 257990868096 is 690868099752.

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

It is a self number, because there is not a number n which added to its sum of digits gives 257990868096.

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, 1136523535 + ... + 1136523761.

It is an arithmetic number, because the mean of its divisors is an integer number (1973649510).

Almost surely, 2^257990868096 is an apocalyptic number.

257990868096 is a gapful number since it is divisible by the number (26) 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 257990868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378940705920).

257990868096 is an abundant number, since it is smaller than the sum of its proper divisors (499890543744).

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

257990868096 is a wasteful number, since it uses less digits than its factorization.

257990868096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 257990868096 in words is "two hundred fifty-seven billion, nine hundred ninety million, eight hundred sixty-eight thousand, ninety-six".