285323869094400 has 2880 divisors, whose sum is σ = 1145668770005760. Its totient is φ = 70141162291200.

The previous prime is 285323869094389. The next prime is 285323869094417. The reversal of 285323869094400 is 4490968323582.

It is a happy number.

285323869094400 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 23 + 86 + 90 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×285323869094400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 261046540254 + ... + 261046541346.

It is an arithmetic number, because the mean of its divisors is an integer number (397801656252).

Almost surely, 2^{285323869094400} is an apocalyptic number.

285323869094400 is a gapful number since it is divisible by the number (20) 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 285323869094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572834385002880).

285323869094400 is an abundant number, since it is smaller than the sum of its proper divisors (860344900911360).

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

285323869094400 is a wasteful number, since it uses less digits than its factorization.

285323869094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 285323869094400 in words is "two hundred eighty-five trillion, three hundred twenty-three billion, eight hundred sixty-nine million, ninety-four thousand, four hundred".