1282282919680 has 864 divisors, whose sum is σ = 3993962918400. Its totient is φ = 385157431296.

The previous prime is 1282282919633. The next prime is 1282282919719. The reversal of 1282282919680 is 869192822821.

It is a super-2 number, since 2×1282282919680² (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 95 ways as a sum of consecutive naturals, for example, 3296356926 + ... + 3296357314.

Almost surely, 2^{1282282919680} is an apocalyptic number.

1282282919680 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 1282282919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996981459200).

1282282919680 is an abundant number, since it is smaller than the sum of its proper divisors (2711679998720).

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

1282282919680 is a wasteful number, since it uses less digits than its factorization.

1282282919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 1282282919680 in words is "one trillion, two hundred eighty-two billion, two hundred eighty-two million, nine hundred nineteen thousand, six hundred eighty".