257126517264 has 80 divisors (see below), whose sum is σ = 680698700352. Its totient is φ = 83591499264.

The previous prime is 257126517251. The next prime is 257126517269. The reversal of 257126517264 is 462715621752.

It is a super-2 number, since 2×257126517264² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (257126517269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305322 + ... + 1489334.

Almost surely, 2^257126517264 is an apocalyptic number.

257126517264 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 257126517264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340349350176).

257126517264 is an abundant number, since it is smaller than the sum of its proper divisors (423572183088).

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

257126517264 is a wasteful number, since it uses less digits than its factorization.

257126517264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184744 (or 184738 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

It can be divided in two parts, 257126 and 517264, that added together give a triangular number (774390 = T₁₂₄₄).

The spelling of 257126517264 in words is "two hundred fifty-seven billion, one hundred twenty-six million, five hundred seventeen thousand, two hundred sixty-four".