1282245968520 has 288 divisors, whose sum is σ = 4593616536600. Its totient is φ = 309963202560.

The previous prime is 1282245968501. The next prime is 1282245968527. The reversal of 1282245968520 is 258695422821.

1282245968520 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 2 + 4 + 59 + 68 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 977879698884 + 304366269636 = 988878^2 + 551694^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1282245968527) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15334986 + ... + 15418374.

Almost surely, 2^{1282245968520} is an apocalyptic number.

1282245968520 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 1282245968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296808268300).

1282245968520 is an abundant number, since it is smaller than the sum of its proper divisors (3311370568080).

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

1282245968520 is a wasteful number, since it uses less digits than its factorization.

1282245968520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83781 (or 83763 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1282245968520 in words is "one trillion, two hundred eighty-two billion, two hundred forty-five million, nine hundred sixty-eight thousand, five hundred twenty".