1285116300 has 576 divisors, whose sum is σ = 4899686400. Its totient is φ = 286156800.

The previous prime is 1285116289. The next prime is 1285116311. The reversal of 1285116300 is 36115821.

1285116300 is a `hidden beast` number, since 1 + 28 + 5 + 1 + 1 + 630 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1285116289) and next prime (1285116311).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27342877 + ... + 27342923.

It is an arithmetic number, because the mean of its divisors is an integer number (8506400).

Almost surely, 2^1285116300 is an apocalyptic number.

1285116300 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 1285116300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449843200).

1285116300 is an abundant number, since it is smaller than the sum of its proper divisors (3614570100).

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

1285116300 is a wasteful number, since it uses less digits than its factorization.

1285116300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1285116300 is about 35848.5187978527. The cubic root of 1285116300 is about 1087.2117666568.

The spelling of 1285116300 in words is "one billion, two hundred eighty-five million, one hundred sixteen thousand, three hundred".