257134863264 has 192 divisors, whose sum is σ = 756517708800. Its totient is φ = 75995394048.

The previous prime is 257134863221. The next prime is 257134863269. The reversal of 257134863264 is 462368431752.

It is a super-2 number, since 2×257134863264² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (257134863269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5527269 + ... + 5573595.

It is an arithmetic number, because the mean of its divisors is an integer number (3940196400).

Almost surely, 2^257134863264 is an apocalyptic number.

257134863264 is a gapful number since it is divisible by the number (24) 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 257134863264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378258854400).

257134863264 is an abundant number, since it is smaller than the sum of its proper divisors (499382845536).

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

257134863264 is a wasteful number, since it uses less digits than its factorization.

257134863264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46555 (or 46547 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 257134863264 in words is "two hundred fifty-seven billion, one hundred thirty-four million, eight hundred sixty-three thousand, two hundred sixty-four".