257379149088 has 144 divisors (see below), whose sum is σ = 757610937720. Its totient is φ = 82785411072.

The previous prime is 257379149087. The next prime is 257379149089. The reversal of 257379149088 is 880941973752.

257379149088 is a `hidden beast` number, since 2 + 5 + 73 + 79 + 1 + 490 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (257379149087) and next prime (257379149089).

It can be written as a sum of positive squares in 4 ways, for example, as 210780155664 + 46598993424 = 459108^2 + 215868^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (257379149087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15635070 + ... + 15651522.

Almost surely, 2^257379149088 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 257379149088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378805468860).

257379149088 is an abundant number, since it is smaller than the sum of its proper divisors (500231788632).

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

257379149088 is a wasteful number, since it uses less digits than its factorization.

257379149088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18371 (or 18360 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 257379149088 in words is "two hundred fifty-seven billion, three hundred seventy-nine million, one hundred forty-nine thousand, eighty-eight".