1283253649920 has 320 divisors, whose sum is σ = 4972610839680. Its totient is φ = 311091609600.

The previous prime is 1283253649913. The next prime is 1283253649943. The reversal of 1283253649920 is 299463523821.

1283253649920 is a `hidden beast` number, since 1 + 2 + 83 + 2 + 53 + 6 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83571 + ... + 1604210.

It is an arithmetic number, because the mean of its divisors is an integer number (15539408874).

Almost surely, 2^{1283253649920} is an apocalyptic number.

1283253649920 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 1283253649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486305419840).

1283253649920 is an abundant number, since it is smaller than the sum of its proper divisors (3689357189760).

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

1283253649920 is a wasteful number, since it uses less digits than its factorization.

1283253649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687824 (or 1687802 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1283253649920 in words is "one trillion, two hundred eighty-three billion, two hundred fifty-three million, six hundred forty-nine thousand, nine hundred twenty".