257434907304960 has 4224 divisors, whose sum is σ = 1182215009783808. Its totient is φ = 52171112448000.

The previous prime is 257434907304941. The next prime is 257434907304979. The reversal of 257434907304960 is 69403709434752.

It is a happy number.

257434907304960 is a `hidden beast` number, since 2 + 5 + 7 + 43 + 490 + 7 + 3 + 0 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (257434907304941) and next prime (257434907304979).

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×257434907304960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 916138460020 + ... + 916138460300.

It is an arithmetic number, because the mean of its divisors is an integer number (279880447392).

Almost surely, 2^{257434907304960} is an apocalyptic number.

257434907304960 is a gapful number since it is divisible by the number (20) 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 257434907304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591107504891904).

257434907304960 is an abundant number, since it is smaller than the sum of its proper divisors (924780102478848).

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

257434907304960 is a wasteful number, since it uses less digits than its factorization.

257434907304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 257434907304960 in words is "two hundred fifty-seven trillion, four hundred thirty-four billion, nine hundred seven million, three hundred four thousand, nine hundred sixty".