1259549491200 has 1200 divisors, whose sum is σ = 5592047252736. Its totient is φ = 241591910400.

The previous prime is 1259549491099. The next prime is 1259549491243. The reversal of 1259549491200 is 21949459521.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×1259549491200³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96888422394 + ... + 96888422406.

Almost surely, 2^{1259549491200} is an apocalyptic number.

1259549491200 is a gapful number since it is divisible by the number (10) 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 1259549491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796023626368).

1259549491200 is an abundant number, since it is smaller than the sum of its proper divisors (4332497761536).

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

1259549491200 is an frugal number, since it uses more digits than its factorization.

1259549491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 1259549491200 in words is "one trillion, two hundred fifty-nine billion, five hundred forty-nine million, four hundred ninety-one thousand, two hundred".