1285407866880 has 768 divisors, whose sum is σ = 4699192942080. Its totient is φ = 324403200000.

The previous prime is 1285407866879. The next prime is 1285407866927. The reversal of 1285407866880 is 886687045821.

1285407866880 is a `hidden beast` number, since 1 + 2 + 8 + 540 + 7 + 8 + 6 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5121146755 + ... + 5121147005.

It is an arithmetic number, because the mean of its divisors is an integer number (6118740810).

Almost surely, 2^{1285407866880} is an apocalyptic number.

1285407866880 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 1285407866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349596471040).

1285407866880 is an abundant number, since it is smaller than the sum of its proper divisors (3413785075200).

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

1285407866880 is a wasteful number, since it uses less digits than its factorization.

1285407866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 1285407866880 in words is "one trillion, two hundred eighty-five billion, four hundred seven million, eight hundred sixty-six thousand, eight hundred eighty".