1282750560 has 576 divisors, whose sum is σ = 5578191360. Its totient is φ = 269568000.

The previous prime is 1282750541. The next prime is 1282750613. The reversal of 1282750560 is 650572821.

It is a happy number.

1282750560 is a `hidden beast` number, since 1 + 28 + 2 + 75 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5110435 + ... + 5110685.

It is an arithmetic number, because the mean of its divisors is an integer number (9684360).

Almost surely, 2^1282750560 is an apocalyptic number.

1282750560 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 1282750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789095680).

1282750560 is an abundant number, since it is smaller than the sum of its proper divisors (4295440800).

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

1282750560 is a wasteful number, since it uses less digits than its factorization.

1282750560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1282750560 is about 35815.5072559359. The cubic root of 1282750560 is about 1086.5442161109.

The spelling of 1282750560 in words is "one billion, two hundred eighty-two million, seven hundred fifty thousand, five hundred sixty".