1286745575520 has 192 divisors, whose sum is σ = 4148058055680. Its totient is φ = 335194675200.

The previous prime is 1286745575509. The next prime is 1286745575567. The reversal of 1286745575520 is 255755476821.

It is a super-2 number, since 2×1286745575520² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 3541525 + ... + 3887915.

It is an arithmetic number, because the mean of its divisors is an integer number (21604469040).

Almost surely, 2^{1286745575520} is an apocalyptic number.

1286745575520 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 1286745575520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074029027840).

1286745575520 is an abundant number, since it is smaller than the sum of its proper divisors (2861312480160).

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

1286745575520 is a wasteful number, since it uses less digits than its factorization.

1286745575520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346589 (or 346581 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 57.

The spelling of 1286745575520 in words is "one trillion, two hundred eighty-six billion, seven hundred forty-five million, five hundred seventy-five thousand, five hundred twenty".