257103125657400 has 96 divisors (see below), whose sum is σ = 869476024972800. Its totient is φ = 62328030460800.

The previous prime is 257103125657387. The next prime is 257103125657419. The reversal of 257103125657400 is 4756521301752.

It is a super-2 number, since 2×257103125657400² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257103125657400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19477502920 + ... + 19477516119.

It is an arithmetic number, because the mean of its divisors is an integer number (9057041926800).

Almost surely, 2^{257103125657400} is an apocalyptic number.

257103125657400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257103125657400 is an abundant number, since it is smaller than the sum of its proper divisors (612372899315400).

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

257103125657400 is a wasteful number, since it uses less digits than its factorization.

257103125657400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955019069 (or 38955019060 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 257103125657400 in words is "two hundred fifty-seven trillion, one hundred three billion, one hundred twenty-five million, six hundred fifty-seven thousand, four hundred".