2557946675200 has 180 divisors, whose sum is σ = 7249738594672. Its totient is φ = 877009305600.

The previous prime is 2557946675197. The next prime is 2557946675237. The reversal of 2557946675200 is 25766497552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2421130 + ... + 3313270.

Almost surely, 2^{2557946675200} is an apocalyptic number.

2557946675200 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 2557946675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624869297336).

2557946675200 is an abundant number, since it is smaller than the sum of its proper divisors (4691791919472).

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

2557946675200 is an frugal number, since it uses more digits than its factorization.

2557946675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892186 (or 892155 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 58.

The spelling of 2557946675200 in words is "two trillion, five hundred fifty-seven billion, nine hundred forty-six million, six hundred seventy-five thousand, two hundred".