1285858886400 has 864 divisors, whose sum is σ = 5321359411200. Its totient is φ = 300961382400.

The previous prime is 1285858886399. The next prime is 1285858886401. The reversal of 1285858886400 is 46888585821.

1285858886400 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 588 + 8 + 6 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1285858886399) and next prime (1285858886401).

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (1285858886401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55111537 + ... + 55134863.

It is an arithmetic number, because the mean of its divisors is an integer number (6158980800).

Almost surely, 2^{1285858886400} is an apocalyptic number.

1285858886400 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 1285858886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660679705600).

1285858886400 is an abundant number, since it is smaller than the sum of its proper divisors (4035500524800).

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

1285858886400 is a wasteful number, since it uses less digits than its factorization.

1285858886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23402 (or 23377 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 63.

The spelling of 1285858886400 in words is "one trillion, two hundred eighty-five billion, eight hundred fifty-eight million, eight hundred eighty-six thousand, four hundred".