1298532912768 has 640 divisors, whose sum is σ = 4920311088000. Its totient is φ = 330653933568.

The previous prime is 1298532912731. The next prime is 1298532912811. The reversal of 1298532912768 is 8672192358921.

1298532912768 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 532 + 91 + 2 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27337423 + ... + 27384881.

It is an arithmetic number, because the mean of its divisors is an integer number (7687986075).

Almost surely, 2^{1298532912768} is an apocalyptic number.

1298532912768 is a gapful number since it is divisible by the number (18) 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 1298532912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460155544000).

1298532912768 is an abundant number, since it is smaller than the sum of its proper divisors (3621778175232).

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

1298532912768 is a wasteful number, since it uses less digits than its factorization.

1298532912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47534 (or 47513 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 1298532912768 in words is "one trillion, two hundred ninety-eight billion, five hundred thirty-two million, nine hundred twelve thousand, seven hundred sixty-eight".