1284255305580 has 288 divisors, whose sum is σ = 4145727313728. Its totient is φ = 295877836800.

The previous prime is 1284255305579. The next prime is 1284255305591. The reversal of 1284255305580 is 855035524821.

It is a happy number.

It is a super-3 number, since 3×1284255305580³ (a number of 37 digits) contains 333 as substring.

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, 31180200 + ... + 31221360.

It is an arithmetic number, because the mean of its divisors is an integer number (14394886506).

Almost surely, 2^{1284255305580} is an apocalyptic number.

1284255305580 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 1284255305580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072863656864).

1284255305580 is an abundant number, since it is smaller than the sum of its proper divisors (2861472008148).

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

1284255305580 is a wasteful number, since it uses less digits than its factorization.

1284255305580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41397 (or 41382 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 1284255305580 in words is "one trillion, two hundred eighty-four billion, two hundred fifty-five million, three hundred five thousand, five hundred eighty".