1275655200 has 288 divisors, whose sum is σ = 4355721216. Its totient is φ = 323957760.

The previous prime is 1275655159. The next prime is 1275655201. The reversal of 1275655200 is 25565721.

It is not an unprimeable number, because it can be changed into a prime (1275655201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4850269 + ... + 4850531.

It is an arithmetic number, because the mean of its divisors is an integer number (15124032).

Almost surely, 2^1275655200 is an apocalyptic number.

1275655200 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 1275655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177860608).

1275655200 is an abundant number, since it is smaller than the sum of its proper divisors (3080066016).

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

1275655200 is a wasteful number, since it uses less digits than its factorization.

1275655200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 1275655200 is about 35716.3155994568. The cubic root of 1275655200 is about 1084.5371538411.

The spelling of 1275655200 in words is "one billion, two hundred seventy-five million, six hundred fifty-five thousand, two hundred".