257050253463600 has 120 divisors (see below), whose sum is σ = 827555423142400. Its totient is φ = 68202278242560.

The previous prime is 257050253463599. The next prime is 257050253463607. The reversal of 257050253463600 is 6364352050752.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 257050253463600.

It is not an unprimeable number, because it can be changed into a prime (257050253463607) 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, 537973624 + ... + 538451223.

Almost surely, 2^{257050253463600} is an apocalyptic number.

257050253463600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257050253463600 is an abundant number, since it is smaller than the sum of its proper divisors (570505169678800).

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

257050253463600 is a wasteful number, since it uses less digits than its factorization.

257050253463600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076425067 (or 1076425056 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 257050253463600 in words is "two hundred fifty-seven trillion, fifty billion, two hundred fifty-three million, four hundred sixty-three thousand, six hundred".