257402380320 has 144 divisors (see below), whose sum is σ = 916576420032. Its totient is φ = 65656250880.

The previous prime is 257402380307. The next prime is 257402380327. The reversal of 257402380320 is 23083204752.

257402380320 is a `hidden beast` number, since 2 + 574 + 0 + 2 + 3 + 80 + 3 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (257402380327) 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, 3852786 + ... + 3919025.

It is an arithmetic number, because the mean of its divisors is an integer number (6365114028).

Almost surely, 2^257402380320 is an apocalyptic number.

257402380320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257402380320 is an abundant number, since it is smaller than the sum of its proper divisors (659174039712).

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

257402380320 is a wasteful number, since it uses less digits than its factorization.

257402380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771855 (or 7771844 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 257402380320 in words is "two hundred fifty-seven billion, four hundred two million, three hundred eighty thousand, three hundred twenty".